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Finding the Fourth Proportional to 242,883.86, 335,065.34 and 157,969.94

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Solution

The fourth proportional to 242,883.86, 335,065.34 and 157,969.94 is: 217,924.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,883.86 : 335,065.34 = 157,969.94 : x
  2. Step 2: Convert to fraction form
    242,883.86/335,065.34 = 157,969.94/x
  3. Step 3: Cross multiply
    242,883.86x = 335,065.34 × 157,969.94
  4. Step 4: Simplify right side
    242,883.86x = 52,930,251,655.88
  5. Step 5: Solve for x
    x = 52,930,251,655.88/242,883.86
  6. Step 6: Final answer
    x = 217,924.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.