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Finding the Fourth Proportional to 205,244.29, 307,614.93 and 116,572.42

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Solution

The fourth proportional to 205,244.29, 307,614.93 and 116,572.42 is: 174,715.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,244.29 : 307,614.93 = 116,572.42 : x
  2. Step 2: Convert to fraction form
    205,244.29/307,614.93 = 116,572.42/x
  3. Step 3: Cross multiply
    205,244.29x = 307,614.93 × 116,572.42
  4. Step 4: Simplify right side
    205,244.29x = 35,859,416,818.23
  5. Step 5: Solve for x
    x = 35,859,416,818.23/205,244.29
  6. Step 6: Final answer
    x = 174,715.78

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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.