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Finding the Fourth Proportional to 223,669.29, 335,563.92 and 97,336.74

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Solution

The fourth proportional to 223,669.29, 335,563.92 and 97,336.74 is: 146,031.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,669.29 : 335,563.92 = 97,336.74 : x
  2. Step 2: Convert to fraction form
    223,669.29/335,563.92 = 97,336.74/x
  3. Step 3: Cross multiply
    223,669.29x = 335,563.92 × 97,336.74
  4. Step 4: Simplify right side
    223,669.29x = 32,662,698,034.42
  5. Step 5: Solve for x
    x = 32,662,698,034.42/223,669.29
  6. Step 6: Final answer
    x = 146,031.21

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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.