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Finding the Fourth Proportional to 137,156.52, 189,283.13 and 76,728.17

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Solution

The fourth proportional to 137,156.52, 189,283.13 and 76,728.17 is: 105,888.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,156.52 : 189,283.13 = 76,728.17 : x
  2. Step 2: Convert to fraction form
    137,156.52/189,283.13 = 76,728.17/x
  3. Step 3: Cross multiply
    137,156.52x = 189,283.13 × 76,728.17
  4. Step 4: Simplify right side
    137,156.52x = 14,523,346,846.72
  5. Step 5: Solve for x
    x = 14,523,346,846.72/137,156.52
  6. Step 6: Final answer
    x = 105,888.85

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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.