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Finding the Fourth Proportional to 205,782,354.06, 308,734,167.03 and 82,897,436.16

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Solution

The fourth proportional to 205,782,354.06, 308,734,167.03 and 82,897,436.16 is: 124,370,580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,782,354.06 : 308,734,167.03 = 82,897,436.16 : x
  2. Step 2: Convert to fraction form
    205,782,354.06/308,734,167.03 = 82,897,436.16/x
  3. Step 3: Cross multiply
    205,782,354.06x = 308,734,167.03 × 82,897,436.16
  4. Step 4: Simplify right side
    205,782,354.06x = 25,593,270,900,311,584
  5. Step 5: Solve for x
    x = 25,593,270,900,311,584/205,782,354.06
  6. Step 6: Final answer
    x = 124,370,580.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.