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Finding the Fourth Proportional to 92,046.30, 137,867.06 and 76,070.28

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Solution

The fourth proportional to 92,046.30, 137,867.06 and 76,070.28 is: 113,938.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,046.30 : 137,867.06 = 76,070.28 : x
  2. Step 2: Convert to fraction form
    92,046.30/137,867.06 = 76,070.28/x
  3. Step 3: Cross multiply
    92,046.30x = 137,867.06 × 76,070.28
  4. Step 4: Simplify right side
    92,046.30x = 10,487,585,856.98
  5. Step 5: Solve for x
    x = 10,487,585,856.98/92,046.30
  6. Step 6: Final answer
    x = 113,938.16

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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.