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Finding the Fourth Proportional to 237,964.80, 357,076.80 and 97,737.60

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Solution

The fourth proportional to 237,964.80, 357,076.80 and 97,737.60 is: 146,659.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,964.80 : 357,076.80 = 97,737.60 : x
  2. Step 2: Convert to fraction form
    237,964.80/357,076.80 = 97,737.60/x
  3. Step 3: Cross multiply
    237,964.80x = 357,076.80 × 97,737.60
  4. Step 4: Simplify right side
    237,964.80x = 34,899,829,447.68
  5. Step 5: Solve for x
    x = 34,899,829,447.68/237,964.80
  6. Step 6: Final answer
    x = 146,659.63

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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.