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Finding the Fourth Proportional to 140,689.50, 211,034.25 and 42,193.50

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Solution

The fourth proportional to 140,689.50, 211,034.25 and 42,193.50 is: 63,290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,689.50 : 211,034.25 = 42,193.50 : x
  2. Step 2: Convert to fraction form
    140,689.50/211,034.25 = 42,193.50/x
  3. Step 3: Cross multiply
    140,689.50x = 211,034.25 × 42,193.50
  4. Step 4: Simplify right side
    140,689.50x = 8,904,273,627.38
  5. Step 5: Solve for x
    x = 8,904,273,627.38/140,689.50
  6. Step 6: Final answer
    x = 63,290.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.