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Finding the Fourth Proportional to 149,097.67, 223,483.83 and 73,248.42

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Solution

The fourth proportional to 149,097.67, 223,483.83 and 73,248.42 is: 109,792.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,097.67 : 223,483.83 = 73,248.42 : x
  2. Step 2: Convert to fraction form
    149,097.67/223,483.83 = 73,248.42/x
  3. Step 3: Cross multiply
    149,097.67x = 223,483.83 × 73,248.42
  4. Step 4: Simplify right side
    149,097.67x = 16,369,837,443.05
  5. Step 5: Solve for x
    x = 16,369,837,443.05/149,097.67
  6. Step 6: Final answer
    x = 109,792.71

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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.