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Finding the Fourth Proportional to 264,963.76, 365,464.84 and 179,933.20

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Solution

The fourth proportional to 264,963.76, 365,464.84 and 179,933.20 is: 248,182.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,963.76 : 365,464.84 = 179,933.20 : x
  2. Step 2: Convert to fraction form
    264,963.76/365,464.84 = 179,933.20/x
  3. Step 3: Cross multiply
    264,963.76x = 365,464.84 × 179,933.20
  4. Step 4: Simplify right side
    264,963.76x = 65,759,258,148.69
  5. Step 5: Solve for x
    x = 65,759,258,148.69/264,963.76
  6. Step 6: Final answer
    x = 248,182.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.