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Finding the Fourth Proportional to 142,562.50, 213,843.75 and 44,066.50

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Solution

The fourth proportional to 142,562.50, 213,843.75 and 44,066.50 is: 66,099.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,562.50 : 213,843.75 = 44,066.50 : x
  2. Step 2: Convert to fraction form
    142,562.50/213,843.75 = 44,066.50/x
  3. Step 3: Cross multiply
    142,562.50x = 213,843.75 × 44,066.50
  4. Step 4: Simplify right side
    142,562.50x = 9,423,345,609.38
  5. Step 5: Solve for x
    x = 9,423,345,609.38/142,562.50
  6. Step 6: Final answer
    x = 66,099.75

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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.