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Finding the Fourth Proportional to 223,920.36, 309,031.92 and 167,233.32

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Solution

The fourth proportional to 223,920.36, 309,031.92 and 167,233.32 is: 230,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,920.36 : 309,031.92 = 167,233.32 : x
  2. Step 2: Convert to fraction form
    223,920.36/309,031.92 = 167,233.32/x
  3. Step 3: Cross multiply
    223,920.36x = 309,031.92 × 167,233.32
  4. Step 4: Simplify right side
    223,920.36x = 51,680,433,967.57
  5. Step 5: Solve for x
    x = 51,680,433,967.57/223,920.36
  6. Step 6: Final answer
    x = 230,798.28

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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.