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Finding the Fourth Proportional to 176,649.88, 264,935.02 and 50,287.32

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Solution

The fourth proportional to 176,649.88, 264,935.02 and 50,287.32 is: 75,419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,649.88 : 264,935.02 = 50,287.32 : x
  2. Step 2: Convert to fraction form
    176,649.88/264,935.02 = 50,287.32/x
  3. Step 3: Cross multiply
    176,649.88x = 264,935.02 × 50,287.32
  4. Step 4: Simplify right side
    176,649.88x = 13,322,872,129.95
  5. Step 5: Solve for x
    x = 13,322,872,129.95/176,649.88
  6. Step 6: Final answer
    x = 75,419.65

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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.