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Finding the Fourth Proportional to 165,291.48, 247,838.67 and 65,466

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Solution

The fourth proportional to 165,291.48, 247,838.67 and 65,466 is: 98,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,291.48 : 247,838.67 = 65,466 : x
  2. Step 2: Convert to fraction form
    165,291.48/247,838.67 = 65,466/x
  3. Step 3: Cross multiply
    165,291.48x = 247,838.67 × 65,466
  4. Step 4: Simplify right side
    165,291.48x = 16,225,006,370.22
  5. Step 5: Solve for x
    x = 16,225,006,370.22/165,291.48
  6. Step 6: Final answer
    x = 98,159.97

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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.