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Finding the Fourth Proportional to 232,773.68, 321,218.64 and 142,281.16

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Solution

The fourth proportional to 232,773.68, 321,218.64 and 142,281.16 is: 196,342.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,773.68 : 321,218.64 = 142,281.16 : x
  2. Step 2: Convert to fraction form
    232,773.68/321,218.64 = 142,281.16/x
  3. Step 3: Cross multiply
    232,773.68x = 321,218.64 × 142,281.16
  4. Step 4: Simplify right side
    232,773.68x = 45,703,360,712.82
  5. Step 5: Solve for x
    x = 45,703,360,712.82/232,773.68
  6. Step 6: Final answer
    x = 196,342.48

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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.