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Finding the Fourth Proportional to 167,106.24, 230,472 and 146,920.32

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Solution

The fourth proportional to 167,106.24, 230,472 and 146,920.32 is: 202,631.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,106.24 : 230,472 = 146,920.32 : x
  2. Step 2: Convert to fraction form
    167,106.24/230,472 = 146,920.32/x
  3. Step 3: Cross multiply
    167,106.24x = 230,472 × 146,920.32
  4. Step 4: Simplify right side
    167,106.24x = 33,861,019,991.04
  5. Step 5: Solve for x
    x = 33,861,019,991.04/167,106.24
  6. Step 6: Final answer
    x = 202,631.69

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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.