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Finding the Fourth Proportional to 230,312.90, 317,686.42 and 158,568.36

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Solution

The fourth proportional to 230,312.90, 317,686.42 and 158,568.36 is: 218,724.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,312.90 : 317,686.42 = 158,568.36 : x
  2. Step 2: Convert to fraction form
    230,312.90/317,686.42 = 158,568.36/x
  3. Step 3: Cross multiply
    230,312.90x = 317,686.42 × 158,568.36
  4. Step 4: Simplify right side
    230,312.90x = 50,375,014,613.67
  5. Step 5: Solve for x
    x = 50,375,014,613.67/230,312.90
  6. Step 6: Final answer
    x = 218,724.24

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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.