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Finding the Fourth Proportional to 158,846.80, 237,881.40 and 75,643.60

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Solution

The fourth proportional to 158,846.80, 237,881.40 and 75,643.60 is: 113,280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,846.80 : 237,881.40 = 75,643.60 : x
  2. Step 2: Convert to fraction form
    158,846.80/237,881.40 = 75,643.60/x
  3. Step 3: Cross multiply
    158,846.80x = 237,881.40 × 75,643.60
  4. Step 4: Simplify right side
    158,846.80x = 17,994,205,469.04
  5. Step 5: Solve for x
    x = 17,994,205,469.04/158,846.80
  6. Step 6: Final answer
    x = 113,280.25

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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.