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Finding the Fourth Proportional to 189,753.60, 284,411.28 and 71,349.42

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Solution

The fourth proportional to 189,753.60, 284,411.28 and 71,349.42 is: 106,941.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,753.60 : 284,411.28 = 71,349.42 : x
  2. Step 2: Convert to fraction form
    189,753.60/284,411.28 = 71,349.42/x
  3. Step 3: Cross multiply
    189,753.60x = 284,411.28 × 71,349.42
  4. Step 4: Simplify right side
    189,753.60x = 20,292,579,869.46
  5. Step 5: Solve for x
    x = 20,292,579,869.46/189,753.60
  6. Step 6: Final answer
    x = 106,941.74

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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.