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Finding the Fourth Proportional to 133,144.02, 199,717.74 and 74,353.68

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Solution

The fourth proportional to 133,144.02, 199,717.74 and 74,353.68 is: 111,531.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,144.02 : 199,717.74 = 74,353.68 : x
  2. Step 2: Convert to fraction form
    133,144.02/199,717.74 = 74,353.68/x
  3. Step 3: Cross multiply
    133,144.02x = 199,717.74 × 74,353.68
  4. Step 4: Simplify right side
    133,144.02x = 14,849,748,930.28
  5. Step 5: Solve for x
    x = 14,849,748,930.28/133,144.02
  6. Step 6: Final answer
    x = 111,531.47

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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.