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Finding the Fourth Proportional to 106,793.68, 147,376.24 and 58,397

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Solution

The fourth proportional to 106,793.68, 147,376.24 and 58,397 is: 80,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,793.68 : 147,376.24 = 58,397 : x
  2. Step 2: Convert to fraction form
    106,793.68/147,376.24 = 58,397/x
  3. Step 3: Cross multiply
    106,793.68x = 147,376.24 × 58,397
  4. Step 4: Simplify right side
    106,793.68x = 8,606,330,287.28
  5. Step 5: Solve for x
    x = 8,606,330,287.28/106,793.68
  6. Step 6: Final answer
    x = 80,588.39

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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.