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Finding the Fourth Proportional to 231,913.73, 319,899.49 and 153,331.42

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Solution

The fourth proportional to 231,913.73, 319,899.49 and 153,331.42 is: 211,503.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,913.73 : 319,899.49 = 153,331.42 : x
  2. Step 2: Convert to fraction form
    231,913.73/319,899.49 = 153,331.42/x
  3. Step 3: Cross multiply
    231,913.73x = 319,899.49 × 153,331.42
  4. Step 4: Simplify right side
    231,913.73x = 49,050,643,058.98
  5. Step 5: Solve for x
    x = 49,050,643,058.98/231,913.73
  6. Step 6: Final answer
    x = 211,503.83

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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.