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Finding the Fourth Proportional to 202,187.70, 302,682.51 and 149,832.18

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Solution

The fourth proportional to 202,187.70, 302,682.51 and 149,832.18 is: 224,304.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,187.70 : 302,682.51 = 149,832.18 : x
  2. Step 2: Convert to fraction form
    202,187.70/302,682.51 = 149,832.18/x
  3. Step 3: Cross multiply
    202,187.70x = 302,682.51 × 149,832.18
  4. Step 4: Simplify right side
    202,187.70x = 45,351,580,321.17
  5. Step 5: Solve for x
    x = 45,351,580,321.17/202,187.70
  6. Step 6: Final answer
    x = 224,304.35

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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.