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Finding the Fourth Proportional to 199,306.40, 274,887.30 and 127,693.12

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Solution

The fourth proportional to 199,306.40, 274,887.30 and 127,693.12 is: 176,116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,306.40 : 274,887.30 = 127,693.12 : x
  2. Step 2: Convert to fraction form
    199,306.40/274,887.30 = 127,693.12/x
  3. Step 3: Cross multiply
    199,306.40x = 274,887.30 × 127,693.12
  4. Step 4: Simplify right side
    199,306.40x = 35,101,216,985.38
  5. Step 5: Solve for x
    x = 35,101,216,985.38/199,306.40
  6. Step 6: Final answer
    x = 176,116.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.