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Finding the Fourth Proportional to 176,805.42, 265,216.90 and 50,464.30

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Solution

The fourth proportional to 176,805.42, 265,216.90 and 50,464.30 is: 75,698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,805.42 : 265,216.90 = 50,464.30 : x
  2. Step 2: Convert to fraction form
    176,805.42/265,216.90 = 50,464.30/x
  3. Step 3: Cross multiply
    176,805.42x = 265,216.90 × 50,464.30
  4. Step 4: Simplify right side
    176,805.42x = 13,383,985,206.67
  5. Step 5: Solve for x
    x = 13,383,985,206.67/176,805.42
  6. Step 6: Final answer
    x = 75,698.95

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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.