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Finding the Fourth Proportional to 173,884.75, 260,827.14 and 49,225.75

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Solution

The fourth proportional to 173,884.75, 260,827.14 and 49,225.75 is: 73,838.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,884.75 : 260,827.14 = 49,225.75 : x
  2. Step 2: Convert to fraction form
    173,884.75/260,827.14 = 49,225.75/x
  3. Step 3: Cross multiply
    173,884.75x = 260,827.14 × 49,225.75
  4. Step 4: Simplify right side
    173,884.75x = 12,839,411,586.86
  5. Step 5: Solve for x
    x = 12,839,411,586.86/173,884.75
  6. Step 6: Final answer
    x = 73,838.63

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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.