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Finding the Fourth Proportional to 119,720.26, 179,565.72 and 30,966.40

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Solution

The fourth proportional to 119,720.26, 179,565.72 and 30,966.40 is: 46,445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,720.26 : 179,565.72 = 30,966.40 : x
  2. Step 2: Convert to fraction form
    119,720.26/179,565.72 = 30,966.40/x
  3. Step 3: Cross multiply
    119,720.26x = 179,565.72 × 30,966.40
  4. Step 4: Simplify right side
    119,720.26x = 5,560,503,911.81
  5. Step 5: Solve for x
    x = 5,560,503,911.81/119,720.26
  6. Step 6: Final answer
    x = 46,445.81

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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.