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Finding the Fourth Proportional to 232,680.65, 321,090.75 and 142,188.08

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Solution

The fourth proportional to 232,680.65, 321,090.75 and 142,188.08 is: 196,214.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,680.65 : 321,090.75 = 142,188.08 : x
  2. Step 2: Convert to fraction form
    232,680.65/321,090.75 = 142,188.08/x
  3. Step 3: Cross multiply
    232,680.65x = 321,090.75 × 142,188.08
  4. Step 4: Simplify right side
    232,680.65x = 45,655,275,642.81
  5. Step 5: Solve for x
    x = 45,655,275,642.81/232,680.65
  6. Step 6: Final answer
    x = 196,214.32

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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.