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Finding the Fourth Proportional to 137,706.88, 206,039.04 and 81,577.12

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Solution

The fourth proportional to 137,706.88, 206,039.04 and 81,577.12 is: 122,056.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,706.88 : 206,039.04 = 81,577.12 : x
  2. Step 2: Convert to fraction form
    137,706.88/206,039.04 = 81,577.12/x
  3. Step 3: Cross multiply
    137,706.88x = 206,039.04 × 81,577.12
  4. Step 4: Simplify right side
    137,706.88x = 16,808,071,490.76
  5. Step 5: Solve for x
    x = 16,808,071,490.76/137,706.88
  6. Step 6: Final answer
    x = 122,056.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.