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Finding the Fourth Proportional to 225,774, 338,683.68 and 59,562

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Solution

The fourth proportional to 225,774, 338,683.68 and 59,562 is: 89,348.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,774 : 338,683.68 = 59,562 : x
  2. Step 2: Convert to fraction form
    225,774/338,683.68 = 59,562/x
  3. Step 3: Cross multiply
    225,774x = 338,683.68 × 59,562
  4. Step 4: Simplify right side
    225,774x = 20,172,677,348.16
  5. Step 5: Solve for x
    x = 20,172,677,348.16/225,774
  6. Step 6: Final answer
    x = 89,348.98

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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.