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Finding the Fourth Proportional to 185,236.80, 277,466.40 and 102,033.60

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Solution

The fourth proportional to 185,236.80, 277,466.40 and 102,033.60 is: 152,836.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,236.80 : 277,466.40 = 102,033.60 : x
  2. Step 2: Convert to fraction form
    185,236.80/277,466.40 = 102,033.60/x
  3. Step 3: Cross multiply
    185,236.80x = 277,466.40 × 102,033.60
  4. Step 4: Simplify right side
    185,236.80x = 28,310,895,671.04
  5. Step 5: Solve for x
    x = 28,310,895,671.04/185,236.80
  6. Step 6: Final answer
    x = 152,836.24

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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.