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Finding the Fourth Proportional to 182,720.96, 252,156.80 and 102,152.96

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Solution

The fourth proportional to 182,720.96, 252,156.80 and 102,152.96 is: 140,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,720.96 : 252,156.80 = 102,152.96 : x
  2. Step 2: Convert to fraction form
    182,720.96/252,156.80 = 102,152.96/x
  3. Step 3: Cross multiply
    182,720.96x = 252,156.80 × 102,152.96
  4. Step 4: Simplify right side
    182,720.96x = 25,758,563,504.13
  5. Step 5: Solve for x
    x = 25,758,563,504.13/182,720.96
  6. Step 6: Final answer
    x = 140,972.13

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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.