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Finding the Fourth Proportional to 210,859.29, 316,253.70 and 92,498.85

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Solution

The fourth proportional to 210,859.29, 316,253.70 and 92,498.85 is: 138,732.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,859.29 : 316,253.70 = 92,498.85 : x
  2. Step 2: Convert to fraction form
    210,859.29/316,253.70 = 92,498.85/x
  3. Step 3: Cross multiply
    210,859.29x = 316,253.70 × 92,498.85
  4. Step 4: Simplify right side
    210,859.29x = 29,253,103,558.25
  5. Step 5: Solve for x
    x = 29,253,103,558.25/210,859.29
  6. Step 6: Final answer
    x = 138,732.82

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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.