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Finding the Fourth Proportional to 150,578.16, 225,871.80 and 38,258.39

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Solution

The fourth proportional to 150,578.16, 225,871.80 and 38,258.39 is: 57,388.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,578.16 : 225,871.80 = 38,258.39 : x
  2. Step 2: Convert to fraction form
    150,578.16/225,871.80 = 38,258.39/x
  3. Step 3: Cross multiply
    150,578.16x = 225,871.80 × 38,258.39
  4. Step 4: Simplify right side
    150,578.16x = 8,641,490,285.04
  5. Step 5: Solve for x
    x = 8,641,490,285.04/150,578.16
  6. Step 6: Final answer
    x = 57,388.74

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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.