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Finding the Fourth Proportional to 201,548.66, 302,256.77 and 89,226.56

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Solution

The fourth proportional to 201,548.66, 302,256.77 and 89,226.56 is: 133,810.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,548.66 : 302,256.77 = 89,226.56 : x
  2. Step 2: Convert to fraction form
    201,548.66/302,256.77 = 89,226.56/x
  3. Step 3: Cross multiply
    201,548.66x = 302,256.77 × 89,226.56
  4. Step 4: Simplify right side
    201,548.66x = 26,969,332,133.32
  5. Step 5: Solve for x
    x = 26,969,332,133.32/201,548.66
  6. Step 6: Final answer
    x = 133,810.53

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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.