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Finding the Fourth Proportional to 127,898.80, 191,934.60 and 83,417.20

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Solution

The fourth proportional to 127,898.80, 191,934.60 and 83,417.20 is: 125,182.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,898.80 : 191,934.60 = 83,417.20 : x
  2. Step 2: Convert to fraction form
    127,898.80/191,934.60 = 83,417.20/x
  3. Step 3: Cross multiply
    127,898.80x = 191,934.60 × 83,417.20
  4. Step 4: Simplify right side
    127,898.80x = 16,010,646,915.12
  5. Step 5: Solve for x
    x = 16,010,646,915.12/127,898.80
  6. Step 6: Final answer
    x = 125,182.15

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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.