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Finding the Fourth Proportional to 237,807.60, 356,727.60 and 75,688.80

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Solution

The fourth proportional to 237,807.60, 356,727.60 and 75,688.80 is: 113,538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,807.60 : 356,727.60 = 75,688.80 : x
  2. Step 2: Convert to fraction form
    237,807.60/356,727.60 = 75,688.80/x
  3. Step 3: Cross multiply
    237,807.60x = 356,727.60 × 75,688.80
  4. Step 4: Simplify right side
    237,807.60x = 27,000,283,970.88
  5. Step 5: Solve for x
    x = 27,000,283,970.88/237,807.60
  6. Step 6: Final answer
    x = 113,538.36

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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.