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Finding the Fourth Proportional to 230,182.08, 317,530.08 and 149,501.76

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Solution

The fourth proportional to 230,182.08, 317,530.08 and 149,501.76 is: 206,233.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,182.08 : 317,530.08 = 149,501.76 : x
  2. Step 2: Convert to fraction form
    230,182.08/317,530.08 = 149,501.76/x
  3. Step 3: Cross multiply
    230,182.08x = 317,530.08 × 149,501.76
  4. Step 4: Simplify right side
    230,182.08x = 47,471,305,812.94
  5. Step 5: Solve for x
    x = 47,471,305,812.94/230,182.08
  6. Step 6: Final answer
    x = 206,233.72

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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.