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Finding the Fourth Proportional to 106,930.56, 160,300.80 and 56,974.08

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Solution

The fourth proportional to 106,930.56, 160,300.80 and 56,974.08 is: 85,410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,930.56 : 160,300.80 = 56,974.08 : x
  2. Step 2: Convert to fraction form
    106,930.56/160,300.80 = 56,974.08/x
  3. Step 3: Cross multiply
    106,930.56x = 160,300.80 × 56,974.08
  4. Step 4: Simplify right side
    106,930.56x = 9,132,990,603.26
  5. Step 5: Solve for x
    x = 9,132,990,603.26/106,930.56
  6. Step 6: Final answer
    x = 85,410.48

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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.