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Finding the Fourth Proportional to 299,125.70, 412,794.76 and 163,162.57

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Solution

The fourth proportional to 299,125.70, 412,794.76 and 163,162.57 is: 225,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,125.70 : 412,794.76 = 163,162.57 : x
  2. Step 2: Convert to fraction form
    299,125.70/412,794.76 = 163,162.57/x
  3. Step 3: Cross multiply
    299,125.70x = 412,794.76 × 163,162.57
  4. Step 4: Simplify right side
    299,125.70x = 67,352,653,924.13
  5. Step 5: Solve for x
    x = 67,352,653,924.13/299,125.70
  6. Step 6: Final answer
    x = 225,165.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.