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Finding the Fourth Proportional to 223,924.41, 309,001.65 and 123,322.41

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Solution

The fourth proportional to 223,924.41, 309,001.65 and 123,322.41 is: 170,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,924.41 : 309,001.65 = 123,322.41 : x
  2. Step 2: Convert to fraction form
    223,924.41/309,001.65 = 123,322.41/x
  3. Step 3: Cross multiply
    223,924.41x = 309,001.65 × 123,322.41
  4. Step 4: Simplify right side
    223,924.41x = 38,106,828,171.98
  5. Step 5: Solve for x
    x = 38,106,828,171.98/223,924.41
  6. Step 6: Final answer
    x = 170,177.20

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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.