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Finding the Fourth Proportional to 182,776.62, 252,230.31 and 102,204.30

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Solution

The fourth proportional to 182,776.62, 252,230.31 and 102,204.30 is: 141,041.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,776.62 : 252,230.31 = 102,204.30 : x
  2. Step 2: Convert to fraction form
    182,776.62/252,230.31 = 102,204.30/x
  3. Step 3: Cross multiply
    182,776.62x = 252,230.31 × 102,204.30
  4. Step 4: Simplify right side
    182,776.62x = 25,779,022,272.33
  5. Step 5: Solve for x
    x = 25,779,022,272.33/182,776.62
  6. Step 6: Final answer
    x = 141,041.14

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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.