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Finding the Fourth Proportional to 176,570.80, 264,856.20 and 100,463.20

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Solution

The fourth proportional to 176,570.80, 264,856.20 and 100,463.20 is: 150,694.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,570.80 : 264,856.20 = 100,463.20 : x
  2. Step 2: Convert to fraction form
    176,570.80/264,856.20 = 100,463.20/x
  3. Step 3: Cross multiply
    176,570.80x = 264,856.20 × 100,463.20
  4. Step 4: Simplify right side
    176,570.80x = 26,608,301,391.84
  5. Step 5: Solve for x
    x = 26,608,301,391.84/176,570.80
  6. Step 6: Final answer
    x = 150,694.80

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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.