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Finding the Fourth Proportional to 223,952.08, 309,053.87 and 123,350.08

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Solution

The fourth proportional to 223,952.08, 309,053.87 and 123,350.08 is: 170,223.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,952.08 : 309,053.87 = 123,350.08 : x
  2. Step 2: Convert to fraction form
    223,952.08/309,053.87 = 123,350.08/x
  3. Step 3: Cross multiply
    223,952.08x = 309,053.87 × 123,350.08
  4. Step 4: Simplify right side
    223,952.08x = 38,121,819,588.81
  5. Step 5: Solve for x
    x = 38,121,819,588.81/223,952.08
  6. Step 6: Final answer
    x = 170,223.11

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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.