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Finding the Fourth Proportional to 291,342.90, 402,060.70 and 164,023.04

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Solution

The fourth proportional to 291,342.90, 402,060.70 and 164,023.04 is: 226,356.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,342.90 : 402,060.70 = 164,023.04 : x
  2. Step 2: Convert to fraction form
    291,342.90/402,060.70 = 164,023.04/x
  3. Step 3: Cross multiply
    291,342.90x = 402,060.70 × 164,023.04
  4. Step 4: Simplify right side
    291,342.90x = 65,947,218,278.53
  5. Step 5: Solve for x
    x = 65,947,218,278.53/291,342.90
  6. Step 6: Final answer
    x = 226,356.02

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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.