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Finding the Fourth Proportional to 267,882.60, 401,823.90 and 208,762.50

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Solution

The fourth proportional to 267,882.60, 401,823.90 and 208,762.50 is: 313,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,882.60 : 401,823.90 = 208,762.50 : x
  2. Step 2: Convert to fraction form
    267,882.60/401,823.90 = 208,762.50/x
  3. Step 3: Cross multiply
    267,882.60x = 401,823.90 × 208,762.50
  4. Step 4: Simplify right side
    267,882.60x = 83,885,761,923.75
  5. Step 5: Solve for x
    x = 83,885,761,923.75/267,882.60
  6. Step 6: Final answer
    x = 313,143.75

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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.