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Finding the Fourth Proportional to 259,693.76, 389,501.52 and 82,177.68

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Solution

The fourth proportional to 259,693.76, 389,501.52 and 82,177.68 is: 123,254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,693.76 : 389,501.52 = 82,177.68 : x
  2. Step 2: Convert to fraction form
    259,693.76/389,501.52 = 82,177.68/x
  3. Step 3: Cross multiply
    259,693.76x = 389,501.52 × 82,177.68
  4. Step 4: Simplify right side
    259,693.76x = 32,008,331,270.07
  5. Step 5: Solve for x
    x = 32,008,331,270.07/259,693.76
  6. Step 6: Final answer
    x = 123,254.14

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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.