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Finding the Fourth Proportional to 182,654.17, 252,064.23 and 102,085.09

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Solution

The fourth proportional to 182,654.17, 252,064.23 and 102,085.09 is: 140,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,654.17 : 252,064.23 = 102,085.09 : x
  2. Step 2: Convert to fraction form
    182,654.17/252,064.23 = 102,085.09/x
  3. Step 3: Cross multiply
    182,654.17x = 252,064.23 × 102,085.09
  4. Step 4: Simplify right side
    182,654.17x = 25,731,998,345.01
  5. Step 5: Solve for x
    x = 25,731,998,345.01/182,654.17
  6. Step 6: Final answer
    x = 140,878.25

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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.