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Finding the Fourth Proportional to 291,323.26, 402,064.42 and 164,023.66

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Solution

The fourth proportional to 291,323.26, 402,064.42 and 164,023.66 is: 226,374.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,323.26 : 402,064.42 = 164,023.66 : x
  2. Step 2: Convert to fraction form
    291,323.26/402,064.42 = 164,023.66/x
  3. Step 3: Cross multiply
    291,323.26x = 402,064.42 × 164,023.66
  4. Step 4: Simplify right side
    291,323.26x = 65,948,076,308.96
  5. Step 5: Solve for x
    x = 65,948,076,308.96/291,323.26
  6. Step 6: Final answer
    x = 226,374.22

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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.