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Finding the Fourth Proportional to 230,114.60, 345,031.10 and 89,711.40

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Solution

The fourth proportional to 230,114.60, 345,031.10 and 89,711.40 is: 134,512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,114.60 : 345,031.10 = 89,711.40 : x
  2. Step 2: Convert to fraction form
    230,114.60/345,031.10 = 89,711.40/x
  3. Step 3: Cross multiply
    230,114.60x = 345,031.10 × 89,711.40
  4. Step 4: Simplify right side
    230,114.60x = 30,953,223,024.54
  5. Step 5: Solve for x
    x = 30,953,223,024.54/230,114.60
  6. Step 6: Final answer
    x = 134,512.21

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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.