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Finding the Fourth Proportional to 217,440.58, 325,846.09 and 149,903.28

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Solution

The fourth proportional to 217,440.58, 325,846.09 and 149,903.28 is: 224,637.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,440.58 : 325,846.09 = 149,903.28 : x
  2. Step 2: Convert to fraction form
    217,440.58/325,846.09 = 149,903.28/x
  3. Step 3: Cross multiply
    217,440.58x = 325,846.09 × 149,903.28
  4. Step 4: Simplify right side
    217,440.58x = 48,845,397,666.18
  5. Step 5: Solve for x
    x = 48,845,397,666.18/217,440.58
  6. Step 6: Final answer
    x = 224,637.91

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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.