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Finding the Fourth Proportional to 124,272.52, 186,253.14 and 97,873

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Solution

The fourth proportional to 124,272.52, 186,253.14 and 97,873 is: 146,686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,272.52 : 186,253.14 = 97,873 : x
  2. Step 2: Convert to fraction form
    124,272.52/186,253.14 = 97,873/x
  3. Step 3: Cross multiply
    124,272.52x = 186,253.14 × 97,873
  4. Step 4: Simplify right side
    124,272.52x = 18,229,153,571.22
  5. Step 5: Solve for x
    x = 18,229,153,571.22/124,272.52
  6. Step 6: Final answer
    x = 146,686.92

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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.