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Finding the Fourth Proportional to 127,871.80, 191,730.90 and 65,663.80

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Solution

The fourth proportional to 127,871.80, 191,730.90 and 65,663.80 is: 98,456.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,871.80 : 191,730.90 = 65,663.80 : x
  2. Step 2: Convert to fraction form
    127,871.80/191,730.90 = 65,663.80/x
  3. Step 3: Cross multiply
    127,871.80x = 191,730.90 × 65,663.80
  4. Step 4: Simplify right side
    127,871.80x = 12,589,779,471.42
  5. Step 5: Solve for x
    x = 12,589,779,471.42/127,871.80
  6. Step 6: Final answer
    x = 98,456.26

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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.