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Finding the Fourth Proportional to 343,144.92, 514,786.19 and 118,513.60

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Solution

The fourth proportional to 343,144.92, 514,786.19 and 118,513.60 is: 177,794.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,144.92 : 514,786.19 = 118,513.60 : x
  2. Step 2: Convert to fraction form
    343,144.92/514,786.19 = 118,513.60/x
  3. Step 3: Cross multiply
    343,144.92x = 514,786.19 × 118,513.60
  4. Step 4: Simplify right side
    343,144.92x = 61,009,162,727.65
  5. Step 5: Solve for x
    x = 61,009,162,727.65/343,144.92
  6. Step 6: Final answer
    x = 177,794.16

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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.