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Finding the Fourth Proportional to 232,774.68, 321,220.02 and 142,282.16

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Solution

The fourth proportional to 232,774.68, 321,220.02 and 142,282.16 is: 196,343.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,774.68 : 321,220.02 = 142,282.16 : x
  2. Step 2: Convert to fraction form
    232,774.68/321,220.02 = 142,282.16/x
  3. Step 3: Cross multiply
    232,774.68x = 321,220.02 × 142,282.16
  4. Step 4: Simplify right side
    232,774.68x = 45,703,878,280.84
  5. Step 5: Solve for x
    x = 45,703,878,280.84/232,774.68
  6. Step 6: Final answer
    x = 196,343.86

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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.