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Finding the Fourth Proportional to 127,869.80, 191,727.90 and 65,661.80

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Solution

The fourth proportional to 127,869.80, 191,727.90 and 65,661.80 is: 98,453.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,869.80 : 191,727.90 = 65,661.80 : x
  2. Step 2: Convert to fraction form
    127,869.80/191,727.90 = 65,661.80/x
  3. Step 3: Cross multiply
    127,869.80x = 191,727.90 × 65,661.80
  4. Step 4: Simplify right side
    127,869.80x = 12,589,199,024.22
  5. Step 5: Solve for x
    x = 12,589,199,024.22/127,869.80
  6. Step 6: Final answer
    x = 98,453.26

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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.