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Finding the Fourth Proportional to 237,783.88, 356,695.28 and 97,543.72

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Solution

The fourth proportional to 237,783.88, 356,695.28 and 97,543.72 is: 146,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,783.88 : 356,695.28 = 97,543.72 : x
  2. Step 2: Convert to fraction form
    237,783.88/356,695.28 = 97,543.72/x
  3. Step 3: Cross multiply
    237,783.88x = 356,695.28 × 97,543.72
  4. Step 4: Simplify right side
    237,783.88x = 34,793,384,517.64
  5. Step 5: Solve for x
    x = 34,793,384,517.64/237,783.88
  6. Step 6: Final answer
    x = 146,323.56

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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.