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Finding the Fourth Proportional to 238,954.80, 358,432.20 and 164,305.20

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Solution

The fourth proportional to 238,954.80, 358,432.20 and 164,305.20 is: 246,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,954.80 : 358,432.20 = 164,305.20 : x
  2. Step 2: Convert to fraction form
    238,954.80/358,432.20 = 164,305.20/x
  3. Step 3: Cross multiply
    238,954.80x = 358,432.20 × 164,305.20
  4. Step 4: Simplify right side
    238,954.80x = 58,892,274,307.44
  5. Step 5: Solve for x
    x = 58,892,274,307.44/238,954.80
  6. Step 6: Final answer
    x = 246,457.80

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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.