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Finding the Fourth Proportional to 135,041.20, 202,561.80 and 46,282.80

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Solution

The fourth proportional to 135,041.20, 202,561.80 and 46,282.80 is: 69,424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,041.20 : 202,561.80 = 46,282.80 : x
  2. Step 2: Convert to fraction form
    135,041.20/202,561.80 = 46,282.80/x
  3. Step 3: Cross multiply
    135,041.20x = 202,561.80 × 46,282.80
  4. Step 4: Simplify right side
    135,041.20x = 9,375,127,277.04
  5. Step 5: Solve for x
    x = 9,375,127,277.04/135,041.20
  6. Step 6: Final answer
    x = 69,424.20

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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.