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Finding the Fourth Proportional to 165,470.52, 247,987.75 and 65,576.26

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Solution

The fourth proportional to 165,470.52, 247,987.75 and 65,576.26 is: 98,277.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,470.52 : 247,987.75 = 65,576.26 : x
  2. Step 2: Convert to fraction form
    165,470.52/247,987.75 = 65,576.26/x
  3. Step 3: Cross multiply
    165,470.52x = 247,987.75 × 65,576.26
  4. Step 4: Simplify right side
    165,470.52x = 16,262,109,170.82
  5. Step 5: Solve for x
    x = 16,262,109,170.82/165,470.52
  6. Step 6: Final answer
    x = 98,277.98

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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.