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Finding the Fourth Proportional to 145,213.60, 217,820.40 and 133,841.20

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Solution

The fourth proportional to 145,213.60, 217,820.40 and 133,841.20 is: 200,761.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,213.60 : 217,820.40 = 133,841.20 : x
  2. Step 2: Convert to fraction form
    145,213.60/217,820.40 = 133,841.20/x
  3. Step 3: Cross multiply
    145,213.60x = 217,820.40 × 133,841.20
  4. Step 4: Simplify right side
    145,213.60x = 29,153,343,720.48
  5. Step 5: Solve for x
    x = 29,153,343,720.48/145,213.60
  6. Step 6: Final answer
    x = 200,761.80

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1.5x scale

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.