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Finding the Fourth Proportional to 207,254.16, 310,834.80 and 80,897.40

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Solution

The fourth proportional to 207,254.16, 310,834.80 and 80,897.40 is: 121,327.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,254.16 : 310,834.80 = 80,897.40 : x
  2. Step 2: Convert to fraction form
    207,254.16/310,834.80 = 80,897.40/x
  3. Step 3: Cross multiply
    207,254.16x = 310,834.80 × 80,897.40
  4. Step 4: Simplify right side
    207,254.16x = 25,145,727,149.52
  5. Step 5: Solve for x
    x = 25,145,727,149.52/207,254.16
  6. Step 6: Final answer
    x = 121,327.97

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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.