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Finding the Fourth Proportional to 132,421.70, 198,465.15 and 53,491.70

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Solution

The fourth proportional to 132,421.70, 198,465.15 and 53,491.70 is: 80,169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,421.70 : 198,465.15 = 53,491.70 : x
  2. Step 2: Convert to fraction form
    132,421.70/198,465.15 = 53,491.70/x
  3. Step 3: Cross multiply
    132,421.70x = 198,465.15 × 53,491.70
  4. Step 4: Simplify right side
    132,421.70x = 10,616,238,264.26
  5. Step 5: Solve for x
    x = 10,616,238,264.26/132,421.70
  6. Step 6: Final answer
    x = 80,169.93

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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.