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Finding the Fourth Proportional to 474,114.84, 711,164.78 and 119,129.10

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Solution

The fourth proportional to 474,114.84, 711,164.78 and 119,129.10 is: 178,691.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,114.84 : 711,164.78 = 119,129.10 : x
  2. Step 2: Convert to fraction form
    474,114.84/711,164.78 = 119,129.10/x
  3. Step 3: Cross multiply
    474,114.84x = 711,164.78 × 119,129.10
  4. Step 4: Simplify right side
    474,114.84x = 84,720,420,193.10
  5. Step 5: Solve for x
    x = 84,720,420,193.10/474,114.84
  6. Step 6: Final answer
    x = 178,691.77

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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.