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Finding the Fourth Proportional to 230,769.34, 318,461.52 and 130,167.34

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Solution

The fourth proportional to 230,769.34, 318,461.52 and 130,167.34 is: 179,630.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,769.34 : 318,461.52 = 130,167.34 : x
  2. Step 2: Convert to fraction form
    230,769.34/318,461.52 = 130,167.34/x
  3. Step 3: Cross multiply
    230,769.34x = 318,461.52 × 130,167.34
  4. Step 4: Simplify right side
    230,769.34x = 41,453,288,950.76
  5. Step 5: Solve for x
    x = 41,453,288,950.76/230,769.34
  6. Step 6: Final answer
    x = 179,630.83

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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.