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Finding the Fourth Proportional to 367,097.94, 550,581.21 and 97,227.90

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Solution

The fourth proportional to 367,097.94, 550,581.21 and 97,227.90 is: 145,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,097.94 : 550,581.21 = 97,227.90 : x
  2. Step 2: Convert to fraction form
    367,097.94/550,581.21 = 97,227.90/x
  3. Step 3: Cross multiply
    367,097.94x = 550,581.21 × 97,227.90
  4. Step 4: Simplify right side
    367,097.94x = 53,531,854,827.76
  5. Step 5: Solve for x
    x = 53,531,854,827.76/367,097.94
  6. Step 6: Final answer
    x = 145,824.45

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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.