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Finding the Fourth Proportional to 230,078.36, 317,521.25 and 138,225.74

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Solution

The fourth proportional to 230,078.36, 317,521.25 and 138,225.74 is: 190,759.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,078.36 : 317,521.25 = 138,225.74 : x
  2. Step 2: Convert to fraction form
    230,078.36/317,521.25 = 138,225.74/x
  3. Step 3: Cross multiply
    230,078.36x = 317,521.25 × 138,225.74
  4. Step 4: Simplify right side
    230,078.36x = 43,889,609,177.29
  5. Step 5: Solve for x
    x = 43,889,609,177.29/230,078.36
  6. Step 6: Final answer
    x = 190,759.40

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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.