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Finding the Fourth Proportional to 157,978.11, 237,008.67 and 56,786.43

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Solution

The fourth proportional to 157,978.11, 237,008.67 and 56,786.43 is: 85,194.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,978.11 : 237,008.67 = 56,786.43 : x
  2. Step 2: Convert to fraction form
    157,978.11/237,008.67 = 56,786.43/x
  3. Step 3: Cross multiply
    157,978.11x = 237,008.67 × 56,786.43
  4. Step 4: Simplify right side
    157,978.11x = 13,458,876,248.35
  5. Step 5: Solve for x
    x = 13,458,876,248.35/157,978.11
  6. Step 6: Final answer
    x = 85,194.56

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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.