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Finding the Fourth Proportional to 291,492.52, 402,249.18 and 164,179.96

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Solution

The fourth proportional to 291,492.52, 402,249.18 and 164,179.96 is: 226,562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,492.52 : 402,249.18 = 164,179.96 : x
  2. Step 2: Convert to fraction form
    291,492.52/402,249.18 = 164,179.96/x
  3. Step 3: Cross multiply
    291,492.52x = 402,249.18 × 164,179.96
  4. Step 4: Simplify right side
    291,492.52x = 66,041,254,282.43
  5. Step 5: Solve for x
    x = 66,041,254,282.43/291,492.52
  6. Step 6: Final answer
    x = 226,562.43

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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.