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Finding the Fourth Proportional to 135,292.38, 202,949.15 and 45,335.40

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Solution

The fourth proportional to 135,292.38, 202,949.15 and 45,335.40 is: 68,006.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,292.38 : 202,949.15 = 45,335.40 : x
  2. Step 2: Convert to fraction form
    135,292.38/202,949.15 = 45,335.40/x
  3. Step 3: Cross multiply
    135,292.38x = 202,949.15 × 45,335.40
  4. Step 4: Simplify right side
    135,292.38x = 9,200,779,907.17
  5. Step 5: Solve for x
    x = 9,200,779,907.17/135,292.38
  6. Step 6: Final answer
    x = 68,006.64

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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.