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Finding the Fourth Proportional to 205,970.80, 308,437.80 and 135,468.40

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Solution

The fourth proportional to 205,970.80, 308,437.80 and 135,468.40 is: 202,861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,970.80 : 308,437.80 = 135,468.40 : x
  2. Step 2: Convert to fraction form
    205,970.80/308,437.80 = 135,468.40/x
  3. Step 3: Cross multiply
    205,970.80x = 308,437.80 × 135,468.40
  4. Step 4: Simplify right side
    205,970.80x = 41,783,575,265.52
  5. Step 5: Solve for x
    x = 41,783,575,265.52/205,970.80
  6. Step 6: Final answer
    x = 202,861.64

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Why These Related Problems?

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