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Finding the Fourth Proportional to 205,407.90, 308,111.85 and 116,834.40

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Solution

The fourth proportional to 205,407.90, 308,111.85 and 116,834.40 is: 175,251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,407.90 : 308,111.85 = 116,834.40 : x
  2. Step 2: Convert to fraction form
    205,407.90/308,111.85 = 116,834.40/x
  3. Step 3: Cross multiply
    205,407.90x = 308,111.85 × 116,834.40
  4. Step 4: Simplify right side
    205,407.90x = 35,998,063,127.64
  5. Step 5: Solve for x
    x = 35,998,063,127.64/205,407.90
  6. Step 6: Final answer
    x = 175,251.60

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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.