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Finding the Fourth Proportional to 238,852.80, 358,279.20 and 164,203.20

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Solution

The fourth proportional to 238,852.80, 358,279.20 and 164,203.20 is: 246,304.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,852.80 : 358,279.20 = 164,203.20 : x
  2. Step 2: Convert to fraction form
    238,852.80/358,279.20 = 164,203.20/x
  3. Step 3: Cross multiply
    238,852.80x = 358,279.20 × 164,203.20
  4. Step 4: Simplify right side
    238,852.80x = 58,830,591,133.44
  5. Step 5: Solve for x
    x = 58,830,591,133.44/238,852.80
  6. Step 6: Final answer
    x = 246,304.80

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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.