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Finding the Fourth Proportional to 291,267.13, 401,923.04 and 162,195.85

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Solution

The fourth proportional to 291,267.13, 401,923.04 and 162,195.85 is: 223,816.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,267.13 : 401,923.04 = 162,195.85 : x
  2. Step 2: Convert to fraction form
    291,267.13/401,923.04 = 162,195.85/x
  3. Step 3: Cross multiply
    291,267.13x = 401,923.04 × 162,195.85
  4. Step 4: Simplify right side
    291,267.13x = 65,190,249,107.38
  5. Step 5: Solve for x
    x = 65,190,249,107.38/291,267.13
  6. Step 6: Final answer
    x = 223,816.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.