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Finding the Fourth Proportional to 223,674.26, 335,407.71 and 83,395.22

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Solution

The fourth proportional to 223,674.26, 335,407.71 and 83,395.22 is: 125,054.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,674.26 : 335,407.71 = 83,395.22 : x
  2. Step 2: Convert to fraction form
    223,674.26/335,407.71 = 83,395.22/x
  3. Step 3: Cross multiply
    223,674.26x = 335,407.71 × 83,395.22
  4. Step 4: Simplify right side
    223,674.26x = 27,971,398,509.65
  5. Step 5: Solve for x
    x = 27,971,398,509.65/223,674.26
  6. Step 6: Final answer
    x = 125,054.17

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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.