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Finding the Fourth Proportional to 258,857.52, 357,164.28 and 145,638.96

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Solution

The fourth proportional to 258,857.52, 357,164.28 and 145,638.96 is: 200,948.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,857.52 : 357,164.28 = 145,638.96 : x
  2. Step 2: Convert to fraction form
    258,857.52/357,164.28 = 145,638.96/x
  3. Step 3: Cross multiply
    258,857.52x = 357,164.28 × 145,638.96
  4. Step 4: Simplify right side
    258,857.52x = 52,017,034,288.35
  5. Step 5: Solve for x
    x = 52,017,034,288.35/258,857.52
  6. Step 6: Final answer
    x = 200,948.52

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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.