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Finding the Fourth Proportional to 182,428.60, 273,642.90 and 164,713.90

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Solution

The fourth proportional to 182,428.60, 273,642.90 and 164,713.90 is: 247,070.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,428.60 : 273,642.90 = 164,713.90 : x
  2. Step 2: Convert to fraction form
    182,428.60/273,642.90 = 164,713.90/x
  3. Step 3: Cross multiply
    182,428.60x = 273,642.90 × 164,713.90
  4. Step 4: Simplify right side
    182,428.60x = 45,072,789,266.31
  5. Step 5: Solve for x
    x = 45,072,789,266.31/182,428.60
  6. Step 6: Final answer
    x = 247,070.85

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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.