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Finding the Fourth Proportional to 107,212.34, 160,824.29 and 28,324.42

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Solution

The fourth proportional to 107,212.34, 160,824.29 and 28,324.42 is: 42,488.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,212.34 : 160,824.29 = 28,324.42 : x
  2. Step 2: Convert to fraction form
    107,212.34/160,824.29 = 28,324.42/x
  3. Step 3: Cross multiply
    107,212.34x = 160,824.29 × 28,324.42
  4. Step 4: Simplify right side
    107,212.34x = 4,555,254,192.48
  5. Step 5: Solve for x
    x = 4,555,254,192.48/107,212.34
  6. Step 6: Final answer
    x = 42,488.15

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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.