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Finding the Fourth Proportional to 302,013.54, 416,781.38 and 164,192.74

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Solution

The fourth proportional to 302,013.54, 416,781.38 and 164,192.74 is: 226,587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,013.54 : 416,781.38 = 164,192.74 : x
  2. Step 2: Convert to fraction form
    302,013.54/416,781.38 = 164,192.74/x
  3. Step 3: Cross multiply
    302,013.54x = 416,781.38 × 164,192.74
  4. Step 4: Simplify right side
    302,013.54x = 68,432,476,763.18
  5. Step 5: Solve for x
    x = 68,432,476,763.18/302,013.54
  6. Step 6: Final answer
    x = 226,587.45

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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.