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Finding the Fourth Proportional to 223,354.62, 335,031.30 and 96,978.51

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Solution

The fourth proportional to 223,354.62, 335,031.30 and 96,978.51 is: 145,467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,354.62 : 335,031.30 = 96,978.51 : x
  2. Step 2: Convert to fraction form
    223,354.62/335,031.30 = 96,978.51/x
  3. Step 3: Cross multiply
    223,354.62x = 335,031.30 × 96,978.51
  4. Step 4: Simplify right side
    223,354.62x = 32,490,836,277.36
  5. Step 5: Solve for x
    x = 32,490,836,277.36/223,354.62
  6. Step 6: Final answer
    x = 145,467.49

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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.