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Finding the Fourth Proportional to 114,494.36, 158,080.14 and 71,490.65

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Solution

The fourth proportional to 114,494.36, 158,080.14 and 71,490.65 is: 98,705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,494.36 : 158,080.14 = 71,490.65 : x
  2. Step 2: Convert to fraction form
    114,494.36/158,080.14 = 71,490.65/x
  3. Step 3: Cross multiply
    114,494.36x = 158,080.14 × 71,490.65
  4. Step 4: Simplify right side
    114,494.36x = 11,301,251,170.29
  5. Step 5: Solve for x
    x = 11,301,251,170.29/114,494.36
  6. Step 6: Final answer
    x = 98,705.75

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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.