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Finding the Fourth Proportional to 173,881.75, 260,822.64 and 49,222.75

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Solution

The fourth proportional to 173,881.75, 260,822.64 and 49,222.75 is: 73,834.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,881.75 : 260,822.64 = 49,222.75 : x
  2. Step 2: Convert to fraction form
    173,881.75/260,822.64 = 49,222.75/x
  3. Step 3: Cross multiply
    173,881.75x = 260,822.64 × 49,222.75
  4. Step 4: Simplify right side
    173,881.75x = 12,838,407,603.06
  5. Step 5: Solve for x
    x = 12,838,407,603.06/173,881.75
  6. Step 6: Final answer
    x = 73,834.13

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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.