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Finding the Fourth Proportional to 92,270.58, 138,449.62 and 54,904.47

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Solution

The fourth proportional to 92,270.58, 138,449.62 and 54,904.47 is: 82,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,270.58 : 138,449.62 = 54,904.47 : x
  2. Step 2: Convert to fraction form
    92,270.58/138,449.62 = 54,904.47/x
  3. Step 3: Cross multiply
    92,270.58x = 138,449.62 × 54,904.47
  4. Step 4: Simplify right side
    92,270.58x = 7,601,502,557.25
  5. Step 5: Solve for x
    x = 7,601,502,557.25/92,270.58
  6. Step 6: Final answer
    x = 82,382.74

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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.