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Finding the Fourth Proportional to 207,641.75, 311,514.65 and 59,897.75

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Solution

The fourth proportional to 207,641.75, 311,514.65 and 59,897.75 is: 89,861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,641.75 : 311,514.65 = 59,897.75 : x
  2. Step 2: Convert to fraction form
    207,641.75/311,514.65 = 59,897.75/x
  3. Step 3: Cross multiply
    207,641.75x = 311,514.65 × 59,897.75
  4. Step 4: Simplify right side
    207,641.75x = 18,659,026,627.04
  5. Step 5: Solve for x
    x = 18,659,026,627.04/207,641.75
  6. Step 6: Final answer
    x = 89,861.63

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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.