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Finding the Fourth Proportional to 201,754.64, 302,238.26 and 157,172.65

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Solution

The fourth proportional to 201,754.64, 302,238.26 and 157,172.65 is: 235,452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,754.64 : 302,238.26 = 157,172.65 : x
  2. Step 2: Convert to fraction form
    201,754.64/302,238.26 = 157,172.65/x
  3. Step 3: Cross multiply
    201,754.64x = 302,238.26 × 157,172.65
  4. Step 4: Simplify right side
    201,754.64x = 47,503,587,303.53
  5. Step 5: Solve for x
    x = 47,503,587,303.53/201,754.64
  6. Step 6: Final answer
    x = 235,452.26

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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.