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Finding the Fourth Proportional to 132,562.71, 198,857.90 and 42,582.71

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Solution

The fourth proportional to 132,562.71, 198,857.90 and 42,582.71 is: 63,878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,562.71 : 198,857.90 = 42,582.71 : x
  2. Step 2: Convert to fraction form
    132,562.71/198,857.90 = 42,582.71/x
  3. Step 3: Cross multiply
    132,562.71x = 198,857.90 × 42,582.71
  4. Step 4: Simplify right side
    132,562.71x = 8,467,908,890.51
  5. Step 5: Solve for x
    x = 8,467,908,890.51/132,562.71
  6. Step 6: Final answer
    x = 63,878.51

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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.