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Finding the Fourth Proportional to 135,709.56, 203,574.06 and 35,868.42

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Solution

The fourth proportional to 135,709.56, 203,574.06 and 35,868.42 is: 53,805.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,709.56 : 203,574.06 = 35,868.42 : x
  2. Step 2: Convert to fraction form
    135,709.56/203,574.06 = 35,868.42/x
  3. Step 3: Cross multiply
    135,709.56x = 203,574.06 × 35,868.42
  4. Step 4: Simplify right side
    135,709.56x = 7,301,879,885.19
  5. Step 5: Solve for x
    x = 7,301,879,885.19/135,709.56
  6. Step 6: Final answer
    x = 53,805.20

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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.