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Finding the Fourth Proportional to 357,182.96, 535,667.50 and 143,882.42

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Solution

The fourth proportional to 357,182.96, 535,667.50 and 143,882.42 is: 215,780.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,182.96 : 535,667.50 = 143,882.42 : x
  2. Step 2: Convert to fraction form
    357,182.96/535,667.50 = 143,882.42/x
  3. Step 3: Cross multiply
    357,182.96x = 535,667.50 × 143,882.42
  4. Step 4: Simplify right side
    357,182.96x = 77,073,136,215.35
  5. Step 5: Solve for x
    x = 77,073,136,215.35/357,182.96
  6. Step 6: Final answer
    x = 215,780.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.