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Finding the Fourth Proportional to 224,002.31, 335,886.80 and 105,641.87

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Solution

The fourth proportional to 224,002.31, 335,886.80 and 105,641.87 is: 158,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,002.31 : 335,886.80 = 105,641.87 : x
  2. Step 2: Convert to fraction form
    224,002.31/335,886.80 = 105,641.87/x
  3. Step 3: Cross multiply
    224,002.31x = 335,886.80 × 105,641.87
  4. Step 4: Simplify right side
    224,002.31x = 35,483,707,452.67
  5. Step 5: Solve for x
    x = 35,483,707,452.67/224,002.31
  6. Step 6: Final answer
    x = 158,407.78

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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.