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Finding the Fourth Proportional to 106,810.79, 160,354.70 and 71,498.03

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Solution

The fourth proportional to 106,810.79, 160,354.70 and 71,498.03 is: 107,339.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,810.79 : 160,354.70 = 71,498.03 : x
  2. Step 2: Convert to fraction form
    106,810.79/160,354.70 = 71,498.03/x
  3. Step 3: Cross multiply
    106,810.79x = 160,354.70 × 71,498.03
  4. Step 4: Simplify right side
    106,810.79x = 11,465,044,793.75
  5. Step 5: Solve for x
    x = 11,465,044,793.75/106,810.79
  6. Step 6: Final answer
    x = 107,339.76

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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.