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Finding the Fourth Proportional to 323,680.75, 485,521.13 and 102,064.75

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Solution

The fourth proportional to 323,680.75, 485,521.13 and 102,064.75 is: 153,097.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,680.75 : 485,521.13 = 102,064.75 : x
  2. Step 2: Convert to fraction form
    323,680.75/485,521.13 = 102,064.75/x
  3. Step 3: Cross multiply
    323,680.75x = 485,521.13 × 102,064.75
  4. Step 4: Simplify right side
    323,680.75x = 49,554,592,242.84
  5. Step 5: Solve for x
    x = 49,554,592,242.84/323,680.75
  6. Step 6: Final answer
    x = 153,097.13

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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.