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Finding the Fourth Proportional to 189,732.70, 284,927.10 and 101,159.20

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Solution

The fourth proportional to 189,732.70, 284,927.10 and 101,159.20 is: 151,913.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,732.70 : 284,927.10 = 101,159.20 : x
  2. Step 2: Convert to fraction form
    189,732.70/284,927.10 = 101,159.20/x
  3. Step 3: Cross multiply
    189,732.70x = 284,927.10 × 101,159.20
  4. Step 4: Simplify right side
    189,732.70x = 28,822,997,494.32
  5. Step 5: Solve for x
    x = 28,822,997,494.32/189,732.70
  6. Step 6: Final answer
    x = 151,913.71

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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.