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Finding the Fourth Proportional to 223,632.16, 334,644.24 and 164,320.48

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Solution

The fourth proportional to 223,632.16, 334,644.24 and 164,320.48 is: 245,889.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,632.16 : 334,644.24 = 164,320.48 : x
  2. Step 2: Convert to fraction form
    223,632.16/334,644.24 = 164,320.48/x
  3. Step 3: Cross multiply
    223,632.16x = 334,644.24 × 164,320.48
  4. Step 4: Simplify right side
    223,632.16x = 54,988,902,146.04
  5. Step 5: Solve for x
    x = 54,988,902,146.04/223,632.16
  6. Step 6: Final answer
    x = 245,889.96

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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.