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Finding the Fourth Proportional to 176,727.30, 264,932.74 and 64,328.25

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Solution

The fourth proportional to 176,727.30, 264,932.74 and 64,328.25 is: 96,434.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,727.30 : 264,932.74 = 64,328.25 : x
  2. Step 2: Convert to fraction form
    176,727.30/264,932.74 = 64,328.25/x
  3. Step 3: Cross multiply
    176,727.30x = 264,932.74 × 64,328.25
  4. Step 4: Simplify right side
    176,727.30x = 17,042,659,531.91
  5. Step 5: Solve for x
    x = 17,042,659,531.91/176,727.30
  6. Step 6: Final answer
    x = 96,434.79

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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.