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Finding the Fourth Proportional to 92,214.76, 127,266.66 and 54,498.28

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Solution

The fourth proportional to 92,214.76, 127,266.66 and 54,498.28 is: 75,213.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,214.76 : 127,266.66 = 54,498.28 : x
  2. Step 2: Convert to fraction form
    92,214.76/127,266.66 = 54,498.28/x
  3. Step 3: Cross multiply
    92,214.76x = 127,266.66 × 54,498.28
  4. Step 4: Simplify right side
    92,214.76x = 6,935,814,071.34
  5. Step 5: Solve for x
    x = 6,935,814,071.34/92,214.76
  6. Step 6: Final answer
    x = 75,213.71

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1.5x scale

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.