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Finding the Fourth Proportional to 138,715.72, 191,428.35 and 78,288.91

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Solution

The fourth proportional to 138,715.72, 191,428.35 and 78,288.91 is: 108,039.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,715.72 : 191,428.35 = 78,288.91 : x
  2. Step 2: Convert to fraction form
    138,715.72/191,428.35 = 78,288.91/x
  3. Step 3: Cross multiply
    138,715.72x = 191,428.35 × 78,288.91
  4. Step 4: Simplify right side
    138,715.72x = 14,986,716,386.03
  5. Step 5: Solve for x
    x = 14,986,716,386.03/138,715.72
  6. Step 6: Final answer
    x = 108,039.06

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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.