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Finding the Fourth Proportional to 162,922.38, 224,821.47 and 90,324.60

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Solution

The fourth proportional to 162,922.38, 224,821.47 and 90,324.60 is: 124,641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,922.38 : 224,821.47 = 90,324.60 : x
  2. Step 2: Convert to fraction form
    162,922.38/224,821.47 = 90,324.60/x
  3. Step 3: Cross multiply
    162,922.38x = 224,821.47 × 90,324.60
  4. Step 4: Simplify right side
    162,922.38x = 20,306,909,349.16
  5. Step 5: Solve for x
    x = 20,306,909,349.16/162,922.38
  6. Step 6: Final answer
    x = 124,641.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.