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Finding the Fourth Proportional to 107,113.19, 160,471.13 and 53,742.49

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Solution

The fourth proportional to 107,113.19, 160,471.13 and 53,742.49 is: 80,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,113.19 : 160,471.13 = 53,742.49 : x
  2. Step 2: Convert to fraction form
    107,113.19/160,471.13 = 53,742.49/x
  3. Step 3: Cross multiply
    107,113.19x = 160,471.13 × 53,742.49
  4. Step 4: Simplify right side
    107,113.19x = 8,624,117,429.42
  5. Step 5: Solve for x
    x = 8,624,117,429.42/107,113.19
  6. Step 6: Final answer
    x = 80,514.06

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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.