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Finding the Fourth Proportional to 97,357.59, 132,551.19 and 97,057.71

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Solution

The fourth proportional to 97,357.59, 132,551.19 and 97,057.71 is: 132,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,357.59 : 132,551.19 = 97,057.71 : x
  2. Step 2: Convert to fraction form
    97,357.59/132,551.19 = 97,057.71/x
  3. Step 3: Cross multiply
    97,357.59x = 132,551.19 × 97,057.71
  4. Step 4: Simplify right side
    97,357.59x = 12,865,114,959.17
  5. Step 5: Solve for x
    x = 12,865,114,959.17/97,357.59
  6. Step 6: Final answer
    x = 132,142.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.