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Finding the Fourth Proportional to 342,738.73, 514,213.19 and 153,358.50

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Solution

The fourth proportional to 342,738.73, 514,213.19 and 153,358.50 is: 230,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,738.73 : 514,213.19 = 153,358.50 : x
  2. Step 2: Convert to fraction form
    342,738.73/514,213.19 = 153,358.50/x
  3. Step 3: Cross multiply
    342,738.73x = 514,213.19 × 153,358.50
  4. Step 4: Simplify right side
    342,738.73x = 78,858,963,498.62
  5. Step 5: Solve for x
    x = 78,858,963,498.62/342,738.73
  6. Step 6: Final answer
    x = 230,084.77

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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.