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Finding the Fourth Proportional to 158,724.80, 237,698.40 and 75,521.60

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Solution

The fourth proportional to 158,724.80, 237,698.40 and 75,521.60 is: 113,097.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,724.80 : 237,698.40 = 75,521.60 : x
  2. Step 2: Convert to fraction form
    158,724.80/237,698.40 = 75,521.60/x
  3. Step 3: Cross multiply
    158,724.80x = 237,698.40 × 75,521.60
  4. Step 4: Simplify right side
    158,724.80x = 17,951,363,485.44
  5. Step 5: Solve for x
    x = 17,951,363,485.44/158,724.80
  6. Step 6: Final answer
    x = 113,097.41

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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.