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Finding the Fourth Proportional to 158,006.50, 237,009.75 and 47,198.50

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Solution

The fourth proportional to 158,006.50, 237,009.75 and 47,198.50 is: 70,797.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,006.50 : 237,009.75 = 47,198.50 : x
  2. Step 2: Convert to fraction form
    158,006.50/237,009.75 = 47,198.50/x
  3. Step 3: Cross multiply
    158,006.50x = 237,009.75 × 47,198.50
  4. Step 4: Simplify right side
    158,006.50x = 11,186,504,685.38
  5. Step 5: Solve for x
    x = 11,186,504,685.38/158,006.50
  6. Step 6: Final answer
    x = 70,797.75

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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.