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Finding the Fourth Proportional to 232,155.78, 347,767.11 and 121,114.50

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Solution

The fourth proportional to 232,155.78, 347,767.11 and 121,114.50 is: 181,428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,155.78 : 347,767.11 = 121,114.50 : x
  2. Step 2: Convert to fraction form
    232,155.78/347,767.11 = 121,114.50/x
  3. Step 3: Cross multiply
    232,155.78x = 347,767.11 × 121,114.50
  4. Step 4: Simplify right side
    232,155.78x = 42,119,639,644.10
  5. Step 5: Solve for x
    x = 42,119,639,644.10/232,155.78
  6. Step 6: Final answer
    x = 181,428.35

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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.