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Finding the Fourth Proportional to 231,878.49, 319,900.18 and 144,612.25

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Solution

The fourth proportional to 231,878.49, 319,900.18 and 144,612.25 is: 199,507.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,878.49 : 319,900.18 = 144,612.25 : x
  2. Step 2: Convert to fraction form
    231,878.49/319,900.18 = 144,612.25/x
  3. Step 3: Cross multiply
    231,878.49x = 319,900.18 × 144,612.25
  4. Step 4: Simplify right side
    231,878.49x = 46,261,484,805.21
  5. Step 5: Solve for x
    x = 46,261,484,805.21/231,878.49
  6. Step 6: Final answer
    x = 199,507.44

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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.