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Finding the Fourth Proportional to 223,634.16, 334,647.24 and 164,322.48

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Solution

The fourth proportional to 223,634.16, 334,647.24 and 164,322.48 is: 245,892.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,634.16 : 334,647.24 = 164,322.48 : x
  2. Step 2: Convert to fraction form
    223,634.16/334,647.24 = 164,322.48/x
  3. Step 3: Cross multiply
    223,634.16x = 334,647.24 × 164,322.48
  4. Step 4: Simplify right side
    223,634.16x = 54,990,064,401.96
  5. Step 5: Solve for x
    x = 54,990,064,401.96/223,634.16
  6. Step 6: Final answer
    x = 245,892.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.