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Finding the Fourth Proportional to 273,530.30, 410,717.85 and 149,114.30

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Solution

The fourth proportional to 273,530.30, 410,717.85 and 149,114.30 is: 223,901.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,530.30 : 410,717.85 = 149,114.30 : x
  2. Step 2: Convert to fraction form
    273,530.30/410,717.85 = 149,114.30/x
  3. Step 3: Cross multiply
    273,530.30x = 410,717.85 × 149,114.30
  4. Step 4: Simplify right side
    273,530.30x = 61,243,904,700.26
  5. Step 5: Solve for x
    x = 61,243,904,700.26/273,530.30
  6. Step 6: Final answer
    x = 223,901.72

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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.