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Finding the Fourth Proportional to 342,853.75, 514,314.46 and 118,184.61

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Solution

The fourth proportional to 342,853.75, 514,314.46 and 118,184.61 is: 177,288.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,853.75 : 514,314.46 = 118,184.61 : x
  2. Step 2: Convert to fraction form
    342,853.75/514,314.46 = 118,184.61/x
  3. Step 3: Cross multiply
    342,853.75x = 514,314.46 × 118,184.61
  4. Step 4: Simplify right side
    342,853.75x = 60,784,053,872.46
  5. Step 5: Solve for x
    x = 60,784,053,872.46/342,853.75
  6. Step 6: Final answer
    x = 177,288.58

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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.