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Finding the Fourth Proportional to 176,287.52, 264,206.64 and 82,586.72

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Solution

The fourth proportional to 176,287.52, 264,206.64 and 82,586.72 is: 123,774.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,287.52 : 264,206.64 = 82,586.72 : x
  2. Step 2: Convert to fraction form
    176,287.52/264,206.64 = 82,586.72/x
  3. Step 3: Cross multiply
    176,287.52x = 264,206.64 × 82,586.72
  4. Step 4: Simplify right side
    176,287.52x = 21,819,959,799.82
  5. Step 5: Solve for x
    x = 21,819,959,799.82/176,287.52
  6. Step 6: Final answer
    x = 123,774.84

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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.