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Finding the Fourth Proportional to 154,930.50, 213,804.09 and 87,862.50

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Solution

The fourth proportional to 154,930.50, 213,804.09 and 87,862.50 is: 121,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,930.50 : 213,804.09 = 87,862.50 : x
  2. Step 2: Convert to fraction form
    154,930.50/213,804.09 = 87,862.50/x
  3. Step 3: Cross multiply
    154,930.50x = 213,804.09 × 87,862.50
  4. Step 4: Simplify right side
    154,930.50x = 18,785,361,857.63
  5. Step 5: Solve for x
    x = 18,785,361,857.63/154,930.50
  6. Step 6: Final answer
    x = 121,250.25

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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.