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Finding the Fourth Proportional to 92,199.65, 127,237.87 and 51,914.90

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Solution

The fourth proportional to 92,199.65, 127,237.87 and 51,914.90 is: 71,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,199.65 : 127,237.87 = 51,914.90 : x
  2. Step 2: Convert to fraction form
    92,199.65/127,237.87 = 51,914.90/x
  3. Step 3: Cross multiply
    92,199.65x = 127,237.87 × 51,914.90
  4. Step 4: Simplify right side
    92,199.65x = 6,605,541,680.25
  5. Step 5: Solve for x
    x = 6,605,541,680.25/92,199.65
  6. Step 6: Final answer
    x = 71,643.89

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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.