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Finding the Fourth Proportional to 205,884.40, 308,851.48 and 72,737.40

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Solution

The fourth proportional to 205,884.40, 308,851.48 and 72,737.40 is: 109,114.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,884.40 : 308,851.48 = 72,737.40 : x
  2. Step 2: Convert to fraction form
    205,884.40/308,851.48 = 72,737.40/x
  3. Step 3: Cross multiply
    205,884.40x = 308,851.48 × 72,737.40
  4. Step 4: Simplify right side
    205,884.40x = 22,465,053,641.35
  5. Step 5: Solve for x
    x = 22,465,053,641.35/205,884.40
  6. Step 6: Final answer
    x = 109,114.89

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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.