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Finding the Fourth Proportional to 261,497.66, 360,872.89 and 148,320.41

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Solution

The fourth proportional to 261,497.66, 360,872.89 and 148,320.41 is: 204,685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,497.66 : 360,872.89 = 148,320.41 : x
  2. Step 2: Convert to fraction form
    261,497.66/360,872.89 = 148,320.41/x
  3. Step 3: Cross multiply
    261,497.66x = 360,872.89 × 148,320.41
  4. Step 4: Simplify right side
    261,497.66x = 53,524,812,827.52
  5. Step 5: Solve for x
    x = 53,524,812,827.52/261,497.66
  6. Step 6: Final answer
    x = 204,685.63

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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.