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Finding the Fourth Proportional to 104,031.20, 156,046.80 and 41,746.40

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Solution

The fourth proportional to 104,031.20, 156,046.80 and 41,746.40 is: 62,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,031.20 : 156,046.80 = 41,746.40 : x
  2. Step 2: Convert to fraction form
    104,031.20/156,046.80 = 41,746.40/x
  3. Step 3: Cross multiply
    104,031.20x = 156,046.80 × 41,746.40
  4. Step 4: Simplify right side
    104,031.20x = 6,514,392,131.52
  5. Step 5: Solve for x
    x = 6,514,392,131.52/104,031.20
  6. Step 6: Final answer
    x = 62,619.60

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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.