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Finding the Fourth Proportional to 146,502.70, 219,926.85 and 83,373.10

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Solution

The fourth proportional to 146,502.70, 219,926.85 and 83,373.10 is: 125,157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,502.70 : 219,926.85 = 83,373.10 : x
  2. Step 2: Convert to fraction form
    146,502.70/219,926.85 = 83,373.10/x
  3. Step 3: Cross multiply
    146,502.70x = 219,926.85 × 83,373.10
  4. Step 4: Simplify right side
    146,502.70x = 18,335,983,257.74
  5. Step 5: Solve for x
    x = 18,335,983,257.74/146,502.70
  6. Step 6: Final answer
    x = 125,157.99

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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.