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Finding the Fourth Proportional to 318,166, 477,251.88 and 96,550

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Solution

The fourth proportional to 318,166, 477,251.88 and 96,550 is: 144,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,166 : 477,251.88 = 96,550 : x
  2. Step 2: Convert to fraction form
    318,166/477,251.88 = 96,550/x
  3. Step 3: Cross multiply
    318,166x = 477,251.88 × 96,550
  4. Step 4: Simplify right side
    318,166x = 46,078,669,014
  5. Step 5: Solve for x
    x = 46,078,669,014/318,166
  6. Step 6: Final answer
    x = 144,825.87

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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.