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Finding the Fourth Proportional to 176,648.80, 264,627.60 and 106,319.20

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Solution

The fourth proportional to 176,648.80, 264,627.60 and 106,319.20 is: 159,270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,648.80 : 264,627.60 = 106,319.20 : x
  2. Step 2: Convert to fraction form
    176,648.80/264,627.60 = 106,319.20/x
  3. Step 3: Cross multiply
    176,648.80x = 264,627.60 × 106,319.20
  4. Step 4: Simplify right side
    176,648.80x = 28,134,994,729.92
  5. Step 5: Solve for x
    x = 28,134,994,729.92/176,648.80
  6. Step 6: Final answer
    x = 159,270.79

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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.