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Finding the Fourth Proportional to 233,342.29, 321,878.19 and 147,270.69

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Solution

The fourth proportional to 233,342.29, 321,878.19 and 147,270.69 is: 203,148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,342.29 : 321,878.19 = 147,270.69 : x
  2. Step 2: Convert to fraction form
    233,342.29/321,878.19 = 147,270.69/x
  3. Step 3: Cross multiply
    233,342.29x = 321,878.19 × 147,270.69
  4. Step 4: Simplify right side
    233,342.29x = 47,403,222,861.12
  5. Step 5: Solve for x
    x = 47,403,222,861.12/233,342.29
  6. Step 6: Final answer
    x = 203,148.87

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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.