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Finding the Fourth Proportional to 161,133.40, 241,412.10 and 77,843.80

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Solution

The fourth proportional to 161,133.40, 241,412.10 and 77,843.80 is: 116,626.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,133.40 : 241,412.10 = 77,843.80 : x
  2. Step 2: Convert to fraction form
    161,133.40/241,412.10 = 77,843.80/x
  3. Step 3: Cross multiply
    161,133.40x = 241,412.10 × 77,843.80
  4. Step 4: Simplify right side
    161,133.40x = 18,792,435,229.98
  5. Step 5: Solve for x
    x = 18,792,435,229.98/161,133.40
  6. Step 6: Final answer
    x = 116,626.57

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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.