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Finding the Fourth Proportional to 137,148.75, 189,256.35 and 76,708.92

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Solution

The fourth proportional to 137,148.75, 189,256.35 and 76,708.92 is: 105,853.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,148.75 : 189,256.35 = 76,708.92 : x
  2. Step 2: Convert to fraction form
    137,148.75/189,256.35 = 76,708.92/x
  3. Step 3: Cross multiply
    137,148.75x = 189,256.35 × 76,708.92
  4. Step 4: Simplify right side
    137,148.75x = 14,517,650,211.64
  5. Step 5: Solve for x
    x = 14,517,650,211.64/137,148.75
  6. Step 6: Final answer
    x = 105,853.32

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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.