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Finding the Fourth Proportional to 104,915.42, 157,419.65 and 54,983.66

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Solution

The fourth proportional to 104,915.42, 157,419.65 and 54,983.66 is: 82,499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,915.42 : 157,419.65 = 54,983.66 : x
  2. Step 2: Convert to fraction form
    104,915.42/157,419.65 = 54,983.66/x
  3. Step 3: Cross multiply
    104,915.42x = 157,419.65 × 54,983.66
  4. Step 4: Simplify right side
    104,915.42x = 8,655,508,512.92
  5. Step 5: Solve for x
    x = 8,655,508,512.92/104,915.42
  6. Step 6: Final answer
    x = 82,499.87

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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.