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Finding the Fourth Proportional to 173,882.30, 260,823.45 and 49,223.30

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Solution

The fourth proportional to 173,882.30, 260,823.45 and 49,223.30 is: 73,834.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,882.30 : 260,823.45 = 49,223.30 : x
  2. Step 2: Convert to fraction form
    173,882.30/260,823.45 = 49,223.30/x
  3. Step 3: Cross multiply
    173,882.30x = 260,823.45 × 49,223.30
  4. Step 4: Simplify right side
    173,882.30x = 12,838,590,926.39
  5. Step 5: Solve for x
    x = 12,838,590,926.39/173,882.30
  6. Step 6: Final answer
    x = 73,834.95

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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.