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Finding the Fourth Proportional to 137,126.16, 189,243.78 and 76,702.44

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Solution

The fourth proportional to 137,126.16, 189,243.78 and 76,702.44 is: 105,854.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,126.16 : 189,243.78 = 76,702.44 : x
  2. Step 2: Convert to fraction form
    137,126.16/189,243.78 = 76,702.44/x
  3. Step 3: Cross multiply
    137,126.16x = 189,243.78 × 76,702.44
  4. Step 4: Simplify right side
    137,126.16x = 14,515,459,680.82
  5. Step 5: Solve for x
    x = 14,515,459,680.82/137,126.16
  6. Step 6: Final answer
    x = 105,854.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.