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Finding the Fourth Proportional to 189,564.60, 284,251.76 and 63,160.40

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Solution

The fourth proportional to 189,564.60, 284,251.76 and 63,160.40 is: 94,708.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,564.60 : 284,251.76 = 63,160.40 : x
  2. Step 2: Convert to fraction form
    189,564.60/284,251.76 = 63,160.40/x
  3. Step 3: Cross multiply
    189,564.60x = 284,251.76 × 63,160.40
  4. Step 4: Simplify right side
    189,564.60x = 17,953,454,862.30
  5. Step 5: Solve for x
    x = 17,953,454,862.30/189,564.60
  6. Step 6: Final answer
    x = 94,708.90

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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.