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Finding the Fourth Proportional to 210,716.24, 316,074.65 and 86,057.24

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Solution

The fourth proportional to 210,716.24, 316,074.65 and 86,057.24 is: 129,085.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,716.24 : 316,074.65 = 86,057.24 : x
  2. Step 2: Convert to fraction form
    210,716.24/316,074.65 = 86,057.24/x
  3. Step 3: Cross multiply
    210,716.24x = 316,074.65 × 86,057.24
  4. Step 4: Simplify right side
    210,716.24x = 27,200,510,002.31
  5. Step 5: Solve for x
    x = 27,200,510,002.31/210,716.24
  6. Step 6: Final answer
    x = 129,085.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.