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Finding the Fourth Proportional to 232,002.10, 347,837.10 and 89,725.60

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Solution

The fourth proportional to 232,002.10, 347,837.10 and 89,725.60 is: 134,524.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,002.10 : 347,837.10 = 89,725.60 : x
  2. Step 2: Convert to fraction form
    232,002.10/347,837.10 = 89,725.60/x
  3. Step 3: Cross multiply
    232,002.10x = 347,837.10 × 89,725.60
  4. Step 4: Simplify right side
    232,002.10x = 31,209,892,499.76
  5. Step 5: Solve for x
    x = 31,209,892,499.76/232,002.10
  6. Step 6: Final answer
    x = 134,524.18

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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.