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Finding the Fourth Proportional to 137,031.10, 189,106.30 and 76,611.78

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Solution

The fourth proportional to 137,031.10, 189,106.30 and 76,611.78 is: 105,726.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,031.10 : 189,106.30 = 76,611.78 : x
  2. Step 2: Convert to fraction form
    137,031.10/189,106.30 = 76,611.78/x
  3. Step 3: Cross multiply
    137,031.10x = 189,106.30 × 76,611.78
  4. Step 4: Simplify right side
    137,031.10x = 14,487,770,252.21
  5. Step 5: Solve for x
    x = 14,487,770,252.21/137,031.10
  6. Step 6: Final answer
    x = 105,726.15

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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.