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Finding the Fourth Proportional to 442,182.09, 663,273.14 and 109,758.09

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Solution

The fourth proportional to 442,182.09, 663,273.14 and 109,758.09 is: 164,637.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,182.09 : 663,273.14 = 109,758.09 : x
  2. Step 2: Convert to fraction form
    442,182.09/663,273.14 = 109,758.09/x
  3. Step 3: Cross multiply
    442,182.09x = 663,273.14 × 109,758.09
  4. Step 4: Simplify right side
    442,182.09x = 72,799,592,994.70
  5. Step 5: Solve for x
    x = 72,799,592,994.70/442,182.09
  6. Step 6: Final answer
    x = 164,637.14

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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.