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Finding the Fourth Proportional to 127,820.80, 191,731.20 and 108,137.80

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Solution

The fourth proportional to 127,820.80, 191,731.20 and 108,137.80 is: 162,206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,820.80 : 191,731.20 = 108,137.80 : x
  2. Step 2: Convert to fraction form
    127,820.80/191,731.20 = 108,137.80/x
  3. Step 3: Cross multiply
    127,820.80x = 191,731.20 × 108,137.80
  4. Step 4: Simplify right side
    127,820.80x = 20,733,390,159.36
  5. Step 5: Solve for x
    x = 20,733,390,159.36/127,820.80
  6. Step 6: Final answer
    x = 162,206.70

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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.