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Finding the Fourth Proportional to 258,778.62, 357,095.25 and 145,579.50

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Solution

The fourth proportional to 258,778.62, 357,095.25 and 145,579.50 is: 200,888.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,778.62 : 357,095.25 = 145,579.50 : x
  2. Step 2: Convert to fraction form
    258,778.62/357,095.25 = 145,579.50/x
  3. Step 3: Cross multiply
    258,778.62x = 357,095.25 × 145,579.50
  4. Step 4: Simplify right side
    258,778.62x = 51,985,747,947.38
  5. Step 5: Solve for x
    x = 51,985,747,947.38/258,778.62
  6. Step 6: Final answer
    x = 200,888.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.