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Finding the Fourth Proportional to 135,031.60, 202,385.40 and 56,105.20

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Solution

The fourth proportional to 135,031.60, 202,385.40 and 56,105.20 is: 84,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,031.60 : 202,385.40 = 56,105.20 : x
  2. Step 2: Convert to fraction form
    135,031.60/202,385.40 = 56,105.20/x
  3. Step 3: Cross multiply
    135,031.60x = 202,385.40 × 56,105.20
  4. Step 4: Simplify right side
    135,031.60x = 11,354,873,344.08
  5. Step 5: Solve for x
    x = 11,354,873,344.08/135,031.60
  6. Step 6: Final answer
    x = 84,090.49

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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.