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Finding the Fourth Proportional to 189,857.10, 284,785.65 and 101,064.90

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Solution

The fourth proportional to 189,857.10, 284,785.65 and 101,064.90 is: 151,597.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,857.10 : 284,785.65 = 101,064.90 : x
  2. Step 2: Convert to fraction form
    189,857.10/284,785.65 = 101,064.90/x
  3. Step 3: Cross multiply
    189,857.10x = 284,785.65 × 101,064.90
  4. Step 4: Simplify right side
    189,857.10x = 28,781,833,238.69
  5. Step 5: Solve for x
    x = 28,781,833,238.69/189,857.10
  6. Step 6: Final answer
    x = 151,597.35

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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.