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Finding the Fourth Proportional to 225,197.42, 310,767.64 and 123,222.47

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Solution

The fourth proportional to 225,197.42, 310,767.64 and 123,222.47 is: 170,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,197.42 : 310,767.64 = 123,222.47 : x
  2. Step 2: Convert to fraction form
    225,197.42/310,767.64 = 123,222.47/x
  3. Step 3: Cross multiply
    225,197.42x = 310,767.64 × 123,222.47
  4. Step 4: Simplify right side
    225,197.42x = 38,293,554,334.98
  5. Step 5: Solve for x
    x = 38,293,554,334.98/225,197.42
  6. Step 6: Final answer
    x = 170,044.38

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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.