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Finding the Fourth Proportional to 138,012.39, 190,452.69 and 77,585.58

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Solution

The fourth proportional to 138,012.39, 190,452.69 and 77,585.58 is: 107,065.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,012.39 : 190,452.69 = 77,585.58 : x
  2. Step 2: Convert to fraction form
    138,012.39/190,452.69 = 77,585.58/x
  3. Step 3: Cross multiply
    138,012.39x = 190,452.69 × 77,585.58
  4. Step 4: Simplify right side
    138,012.39x = 14,776,382,416.21
  5. Step 5: Solve for x
    x = 14,776,382,416.21/138,012.39
  6. Step 6: Final answer
    x = 107,065.62

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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.