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Finding the Fourth Proportional to 165,432, 247,950.36 and 60,193.68

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Solution

The fourth proportional to 165,432, 247,950.36 and 60,193.68 is: 90,218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,432 : 247,950.36 = 60,193.68 : x
  2. Step 2: Convert to fraction form
    165,432/247,950.36 = 60,193.68/x
  3. Step 3: Cross multiply
    165,432x = 247,950.36 × 60,193.68
  4. Step 4: Simplify right side
    165,432x = 14,925,044,625.72
  5. Step 5: Solve for x
    x = 14,925,044,625.72/165,432
  6. Step 6: Final answer
    x = 90,218.61

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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.