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Finding the Fourth Proportional to 110,498.20, 165,698.70 and 43,916.20

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Solution

The fourth proportional to 110,498.20, 165,698.70 and 43,916.20 is: 65,854.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,498.20 : 165,698.70 = 43,916.20 : x
  2. Step 2: Convert to fraction form
    110,498.20/165,698.70 = 43,916.20/x
  3. Step 3: Cross multiply
    110,498.20x = 165,698.70 × 43,916.20
  4. Step 4: Simplify right side
    110,498.20x = 7,276,857,248.94
  5. Step 5: Solve for x
    x = 7,276,857,248.94/110,498.20
  6. Step 6: Final answer
    x = 65,854.98

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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.