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Finding the Fourth Proportional to 92,189.75, 127,221.80 and 53,956.57

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Solution

The fourth proportional to 92,189.75, 127,221.80 and 53,956.57 is: 74,460.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,189.75 : 127,221.80 = 53,956.57 : x
  2. Step 2: Convert to fraction form
    92,189.75/127,221.80 = 53,956.57/x
  3. Step 3: Cross multiply
    92,189.75x = 127,221.80 × 53,956.57
  4. Step 4: Simplify right side
    92,189.75x = 6,864,452,117.49
  5. Step 5: Solve for x
    x = 6,864,452,117.49/92,189.75
  6. Step 6: Final answer
    x = 74,460.04

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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.