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Finding the Fourth Proportional to 126,886.50, 175,024.18 and 81,623.50

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Solution

The fourth proportional to 126,886.50, 175,024.18 and 81,623.50 is: 112,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,886.50 : 175,024.18 = 81,623.50 : x
  2. Step 2: Convert to fraction form
    126,886.50/175,024.18 = 81,623.50/x
  3. Step 3: Cross multiply
    126,886.50x = 175,024.18 × 81,623.50
  4. Step 4: Simplify right side
    126,886.50x = 14,286,086,156.23
  5. Step 5: Solve for x
    x = 14,286,086,156.23/126,886.50
  6. Step 6: Final answer
    x = 112,589.49

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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.