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Finding the Fourth Proportional to 220,726.98, 304,582.14 and 123,908.64

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Solution

The fourth proportional to 220,726.98, 304,582.14 and 123,908.64 is: 170,982.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,726.98 : 304,582.14 = 123,908.64 : x
  2. Step 2: Convert to fraction form
    220,726.98/304,582.14 = 123,908.64/x
  3. Step 3: Cross multiply
    220,726.98x = 304,582.14 × 123,908.64
  4. Step 4: Simplify right side
    220,726.98x = 37,740,358,735.69
  5. Step 5: Solve for x
    x = 37,740,358,735.69/220,726.98
  6. Step 6: Final answer
    x = 170,982.08

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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.