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Finding the Fourth Proportional to 157,049.46, 216,726.03 and 85,429.98

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Solution

The fourth proportional to 157,049.46, 216,726.03 and 85,429.98 is: 117,892.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,049.46 : 216,726.03 = 85,429.98 : x
  2. Step 2: Convert to fraction form
    157,049.46/216,726.03 = 85,429.98/x
  3. Step 3: Cross multiply
    157,049.46x = 216,726.03 × 85,429.98
  4. Step 4: Simplify right side
    157,049.46x = 18,514,900,408.38
  5. Step 5: Solve for x
    x = 18,514,900,408.38/157,049.46
  6. Step 6: Final answer
    x = 117,892.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.