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Finding the Fourth Proportional to 121,041.20, 181,561.80 and 106,266.80

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Solution

The fourth proportional to 121,041.20, 181,561.80 and 106,266.80 is: 159,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,041.20 : 181,561.80 = 106,266.80 : x
  2. Step 2: Convert to fraction form
    121,041.20/181,561.80 = 106,266.80/x
  3. Step 3: Cross multiply
    121,041.20x = 181,561.80 × 106,266.80
  4. Step 4: Simplify right side
    121,041.20x = 19,293,991,488.24
  5. Step 5: Solve for x
    x = 19,293,991,488.24/121,041.20
  6. Step 6: Final answer
    x = 159,400.20

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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.