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Finding the Fourth Proportional to 291,352.90, 402,074.52 and 164,033.04

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Solution

The fourth proportional to 291,352.90, 402,074.52 and 164,033.04 is: 226,369.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,352.90 : 402,074.52 = 164,033.04 : x
  2. Step 2: Convert to fraction form
    291,352.90/402,074.52 = 164,033.04/x
  3. Step 3: Cross multiply
    291,352.90x = 402,074.52 × 164,033.04
  4. Step 4: Simplify right side
    291,352.90x = 65,953,505,822.14
  5. Step 5: Solve for x
    x = 65,953,505,822.14/291,352.90
  6. Step 6: Final answer
    x = 226,369.83

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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.