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Finding the Fourth Proportional to 185,164.20, 277,044.30 and 122,956.20

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Solution

The fourth proportional to 185,164.20, 277,044.30 and 122,956.20 is: 183,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,164.20 : 277,044.30 = 122,956.20 : x
  2. Step 2: Convert to fraction form
    185,164.20/277,044.30 = 122,956.20/x
  3. Step 3: Cross multiply
    185,164.20x = 277,044.30 × 122,956.20
  4. Step 4: Simplify right side
    185,164.20x = 34,064,314,359.66
  5. Step 5: Solve for x
    x = 34,064,314,359.66/185,164.20
  6. Step 6: Final answer
    x = 183,968.14

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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.