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Finding the Fourth Proportional to 230,740.80, 346,111.20 and 106,324.80

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Solution

The fourth proportional to 230,740.80, 346,111.20 and 106,324.80 is: 159,487.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,740.80 : 346,111.20 = 106,324.80 : x
  2. Step 2: Convert to fraction form
    230,740.80/346,111.20 = 106,324.80/x
  3. Step 3: Cross multiply
    230,740.80x = 346,111.20 × 106,324.80
  4. Step 4: Simplify right side
    230,740.80x = 36,800,204,117.76
  5. Step 5: Solve for x
    x = 36,800,204,117.76/230,740.80
  6. Step 6: Final answer
    x = 159,487.20

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1.5x scale

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.