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Finding the Fourth Proportional to 176,616.80, 264,320.40 and 106,546.40

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Solution

The fourth proportional to 176,616.80, 264,320.40 and 106,546.40 is: 159,454.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,616.80 : 264,320.40 = 106,546.40 : x
  2. Step 2: Convert to fraction form
    176,616.80/264,320.40 = 106,546.40/x
  3. Step 3: Cross multiply
    176,616.80x = 264,320.40 × 106,546.40
  4. Step 4: Simplify right side
    176,616.80x = 28,162,387,066.56
  5. Step 5: Solve for x
    x = 28,162,387,066.56/176,616.80
  6. Step 6: Final answer
    x = 159,454.75

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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.