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Finding the Fourth Proportional to 500,151.66, 750,180.90 and 140,356.14

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Solution

The fourth proportional to 500,151.66, 750,180.90 and 140,356.14 is: 210,521.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,151.66 : 750,180.90 = 140,356.14 : x
  2. Step 2: Convert to fraction form
    500,151.66/750,180.90 = 140,356.14/x
  3. Step 3: Cross multiply
    500,151.66x = 750,180.90 × 140,356.14
  4. Step 4: Simplify right side
    500,151.66x = 105,292,495,425.73
  5. Step 5: Solve for x
    x = 105,292,495,425.73/500,151.66
  6. Step 6: Final answer
    x = 210,521.14

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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.