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Finding the Fourth Proportional to 106,841.86, 160,271.21 and 35,764.90

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Solution

The fourth proportional to 106,841.86, 160,271.21 and 35,764.90 is: 53,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,841.86 : 160,271.21 = 35,764.90 : x
  2. Step 2: Convert to fraction form
    106,841.86/160,271.21 = 35,764.90/x
  3. Step 3: Cross multiply
    106,841.86x = 160,271.21 × 35,764.90
  4. Step 4: Simplify right side
    106,841.86x = 5,732,083,487.26
  5. Step 5: Solve for x
    x = 5,732,083,487.26/106,841.86
  6. Step 6: Final answer
    x = 53,650.17

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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.