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Finding the Fourth Proportional to 107,081.80, 160,622.70 and 57,315.40

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Solution

The fourth proportional to 107,081.80, 160,622.70 and 57,315.40 is: 85,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,081.80 : 160,622.70 = 57,315.40 : x
  2. Step 2: Convert to fraction form
    107,081.80/160,622.70 = 57,315.40/x
  3. Step 3: Cross multiply
    107,081.80x = 160,622.70 × 57,315.40
  4. Step 4: Simplify right side
    107,081.80x = 9,206,154,299.58
  5. Step 5: Solve for x
    x = 9,206,154,299.58/107,081.80
  6. Step 6: Final answer
    x = 85,973.10

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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.