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Finding the Fourth Proportional to 178,355.66, 267,504.33 and 53,667.50

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Solution

The fourth proportional to 178,355.66, 267,504.33 and 53,667.50 is: 80,492.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,355.66 : 267,504.33 = 53,667.50 : x
  2. Step 2: Convert to fraction form
    178,355.66/267,504.33 = 53,667.50/x
  3. Step 3: Cross multiply
    178,355.66x = 267,504.33 × 53,667.50
  4. Step 4: Simplify right side
    178,355.66x = 14,356,288,630.28
  5. Step 5: Solve for x
    x = 14,356,288,630.28/178,355.66
  6. Step 6: Final answer
    x = 80,492.48

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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.