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Finding the Fourth Proportional to 106,876.20, 160,007.10 and 65,404.20

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Solution

The fourth proportional to 106,876.20, 160,007.10 and 65,404.20 is: 97,918.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,876.20 : 160,007.10 = 65,404.20 : x
  2. Step 2: Convert to fraction form
    106,876.20/160,007.10 = 65,404.20/x
  3. Step 3: Cross multiply
    106,876.20x = 160,007.10 × 65,404.20
  4. Step 4: Simplify right side
    106,876.20x = 10,465,136,369.82
  5. Step 5: Solve for x
    x = 10,465,136,369.82/106,876.20
  6. Step 6: Final answer
    x = 97,918.31

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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.