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Finding the Fourth Proportional to 189,713.16, 284,962.86 and 150,545.88

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Solution

The fourth proportional to 189,713.16, 284,962.86 and 150,545.88 is: 226,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,713.16 : 284,962.86 = 150,545.88 : x
  2. Step 2: Convert to fraction form
    189,713.16/284,962.86 = 150,545.88/x
  3. Step 3: Cross multiply
    189,713.16x = 284,962.86 × 150,545.88
  4. Step 4: Simplify right side
    189,713.16x = 42,899,984,526.02
  5. Step 5: Solve for x
    x = 42,899,984,526.02/189,713.16
  6. Step 6: Final answer
    x = 226,130.78

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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.