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Finding the Fourth Proportional to 86,757, 129,406.23 and 78,784.17

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Solution

The fourth proportional to 86,757, 129,406.23 and 78,784.17 is: 117,514.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,757 : 129,406.23 = 78,784.17 : x
  2. Step 2: Convert to fraction form
    86,757/129,406.23 = 78,784.17/x
  3. Step 3: Cross multiply
    86,757x = 129,406.23 × 78,784.17
  4. Step 4: Simplify right side
    86,757x = 10,195,162,423.38
  5. Step 5: Solve for x
    x = 10,195,162,423.38/86,757
  6. Step 6: Final answer
    x = 117,514.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.