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Finding the Fourth Proportional to 127,897.80, 191,933.10 and 83,416.20

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Solution

The fourth proportional to 127,897.80, 191,933.10 and 83,416.20 is: 125,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,897.80 : 191,933.10 = 83,416.20 : x
  2. Step 2: Convert to fraction form
    127,897.80/191,933.10 = 83,416.20/x
  3. Step 3: Cross multiply
    127,897.80x = 191,933.10 × 83,416.20
  4. Step 4: Simplify right side
    127,897.80x = 16,010,329,856.22
  5. Step 5: Solve for x
    x = 16,010,329,856.22/127,897.80
  6. Step 6: Final answer
    x = 125,180.65

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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.