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Finding the Fourth Proportional to 261,259.52, 392,024.14 and 111,459.60

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Solution

The fourth proportional to 261,259.52, 392,024.14 and 111,459.60 is: 167,246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,259.52 : 392,024.14 = 111,459.60 : x
  2. Step 2: Convert to fraction form
    261,259.52/392,024.14 = 111,459.60/x
  3. Step 3: Cross multiply
    261,259.52x = 392,024.14 × 111,459.60
  4. Step 4: Simplify right side
    261,259.52x = 43,694,853,556.10
  5. Step 5: Solve for x
    x = 43,694,853,556.10/261,259.52
  6. Step 6: Final answer
    x = 167,246.94

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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.