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Finding the Fourth Proportional to 342,039.75, 513,170.27 and 164,523.57

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Solution

The fourth proportional to 342,039.75, 513,170.27 and 164,523.57 is: 246,838.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,039.75 : 513,170.27 = 164,523.57 : x
  2. Step 2: Convert to fraction form
    342,039.75/513,170.27 = 164,523.57/x
  3. Step 3: Cross multiply
    342,039.75x = 513,170.27 × 164,523.57
  4. Step 4: Simplify right side
    342,039.75x = 84,428,604,838.26
  5. Step 5: Solve for x
    x = 84,428,604,838.26/342,039.75
  6. Step 6: Final answer
    x = 246,838.58

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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.