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Finding the Fourth Proportional to 157,524.88, 236,218.20 and 57,659.20

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Solution

The fourth proportional to 157,524.88, 236,218.20 and 57,659.20 is: 86,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,524.88 : 236,218.20 = 57,659.20 : x
  2. Step 2: Convert to fraction form
    157,524.88/236,218.20 = 57,659.20/x
  3. Step 3: Cross multiply
    157,524.88x = 236,218.20 × 57,659.20
  4. Step 4: Simplify right side
    157,524.88x = 13,620,152,437.44
  5. Step 5: Solve for x
    x = 13,620,152,437.44/157,524.88
  6. Step 6: Final answer
    x = 86,463.50

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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.