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Finding the Fourth Proportional to 137,020.50, 189,087.66 and 76,591.08

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Solution

The fourth proportional to 137,020.50, 189,087.66 and 76,591.08 is: 105,695.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,020.50 : 189,087.66 = 76,591.08 : x
  2. Step 2: Convert to fraction form
    137,020.50/189,087.66 = 76,591.08/x
  3. Step 3: Cross multiply
    137,020.50x = 189,087.66 × 76,591.08
  4. Step 4: Simplify right side
    137,020.50x = 14,482,428,094.07
  5. Step 5: Solve for x
    x = 14,482,428,094.07/137,020.50
  6. Step 6: Final answer
    x = 105,695.34

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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.