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Finding the Fourth Proportional to 182,757.60, 252,203.76 and 102,184.20

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Solution

The fourth proportional to 182,757.60, 252,203.76 and 102,184.20 is: 141,013.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,757.60 : 252,203.76 = 102,184.20 : x
  2. Step 2: Convert to fraction form
    182,757.60/252,203.76 = 102,184.20/x
  3. Step 3: Cross multiply
    182,757.60x = 252,203.76 × 102,184.20
  4. Step 4: Simplify right side
    182,757.60x = 25,771,239,452.59
  5. Step 5: Solve for x
    x = 25,771,239,452.59/182,757.60
  6. Step 6: Final answer
    x = 141,013.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.