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Finding the Fourth Proportional to 165,461.71, 247,974.45 and 65,567.41

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Solution

The fourth proportional to 165,461.71, 247,974.45 and 65,567.41 is: 98,264.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,461.71 : 247,974.45 = 65,567.41 : x
  2. Step 2: Convert to fraction form
    165,461.71/247,974.45 = 65,567.41/x
  3. Step 3: Cross multiply
    165,461.71x = 247,974.45 × 65,567.41
  4. Step 4: Simplify right side
    165,461.71x = 16,259,041,192.80
  5. Step 5: Solve for x
    x = 16,259,041,192.80/165,461.71
  6. Step 6: Final answer
    x = 98,264.68

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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.