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Finding the Fourth Proportional to 273,323.08, 409,701.66 and 132,907.24

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Solution

The fourth proportional to 273,323.08, 409,701.66 and 132,907.24 is: 199,223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,323.08 : 409,701.66 = 132,907.24 : x
  2. Step 2: Convert to fraction form
    273,323.08/409,701.66 = 132,907.24/x
  3. Step 3: Cross multiply
    273,323.08x = 409,701.66 × 132,907.24
  4. Step 4: Simplify right side
    273,323.08x = 54,452,316,854.02
  5. Step 5: Solve for x
    x = 54,452,316,854.02/273,323.08
  6. Step 6: Final answer
    x = 199,223.27

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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.