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Finding the Fourth Proportional to 223,769.54, 335,685.24 and 71,970.91

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Solution

The fourth proportional to 223,769.54, 335,685.24 and 71,970.91 is: 107,966.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,769.54 : 335,685.24 = 71,970.91 : x
  2. Step 2: Convert to fraction form
    223,769.54/335,685.24 = 71,970.91/x
  3. Step 3: Cross multiply
    223,769.54x = 335,685.24 × 71,970.91
  4. Step 4: Simplify right side
    223,769.54x = 24,159,572,196.37
  5. Step 5: Solve for x
    x = 24,159,572,196.37/223,769.54
  6. Step 6: Final answer
    x = 107,966.32

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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.