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Finding the Fourth Proportional to 242,437.28, 334,542 and 140,430.12

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Solution

The fourth proportional to 242,437.28, 334,542 and 140,430.12 is: 193,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,437.28 : 334,542 = 140,430.12 : x
  2. Step 2: Convert to fraction form
    242,437.28/334,542 = 140,430.12/x
  3. Step 3: Cross multiply
    242,437.28x = 334,542 × 140,430.12
  4. Step 4: Simplify right side
    242,437.28x = 46,979,773,205.04
  5. Step 5: Solve for x
    x = 46,979,773,205.04/242,437.28
  6. Step 6: Final answer
    x = 193,781.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.