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Finding the Fourth Proportional to 176,113.20, 264,169.80 and 51,454.20

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Solution

The fourth proportional to 176,113.20, 264,169.80 and 51,454.20 is: 77,181.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,113.20 : 264,169.80 = 51,454.20 : x
  2. Step 2: Convert to fraction form
    176,113.20/264,169.80 = 51,454.20/x
  3. Step 3: Cross multiply
    176,113.20x = 264,169.80 × 51,454.20
  4. Step 4: Simplify right side
    176,113.20x = 13,592,645,723.16
  5. Step 5: Solve for x
    x = 13,592,645,723.16/176,113.20
  6. Step 6: Final answer
    x = 77,181.30

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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.