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Finding the Fourth Proportional to 261,144.66, 360,489.88 and 176,376.54

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Solution

The fourth proportional to 261,144.66, 360,489.88 and 176,376.54 is: 243,474.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,144.66 : 360,489.88 = 176,376.54 : x
  2. Step 2: Convert to fraction form
    261,144.66/360,489.88 = 176,376.54/x
  3. Step 3: Cross multiply
    261,144.66x = 360,489.88 × 176,376.54
  4. Step 4: Simplify right side
    261,144.66x = 63,581,957,739.42
  5. Step 5: Solve for x
    x = 63,581,957,739.42/261,144.66
  6. Step 6: Final answer
    x = 243,474.09

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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.