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Finding the Fourth Proportional to 106,514.90, 159,772.35 and 67,246.10

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Solution

The fourth proportional to 106,514.90, 159,772.35 and 67,246.10 is: 100,869.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,514.90 : 159,772.35 = 67,246.10 : x
  2. Step 2: Convert to fraction form
    106,514.90/159,772.35 = 67,246.10/x
  3. Step 3: Cross multiply
    106,514.90x = 159,772.35 × 67,246.10
  4. Step 4: Simplify right side
    106,514.90x = 10,744,067,425.34
  5. Step 5: Solve for x
    x = 10,744,067,425.34/106,514.90
  6. Step 6: Final answer
    x = 100,869.15

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1.5x scale

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.