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Finding the Fourth Proportional to 258,952.85, 357,349.42 and 144,231.13

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Solution

The fourth proportional to 258,952.85, 357,349.42 and 144,231.13 is: 199,035.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,952.85 : 357,349.42 = 144,231.13 : x
  2. Step 2: Convert to fraction form
    258,952.85/357,349.42 = 144,231.13/x
  3. Step 3: Cross multiply
    258,952.85x = 357,349.42 × 144,231.13
  4. Step 4: Simplify right side
    258,952.85x = 51,540,911,278.42
  5. Step 5: Solve for x
    x = 51,540,911,278.42/258,952.85
  6. Step 6: Final answer
    x = 199,035.89

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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.