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Finding the Fourth Proportional to 242,908.17, 335,273.31 and 165,511.77

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Solution

The fourth proportional to 242,908.17, 335,273.31 and 165,511.77 is: 228,447.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,908.17 : 335,273.31 = 165,511.77 : x
  2. Step 2: Convert to fraction form
    242,908.17/335,273.31 = 165,511.77/x
  3. Step 3: Cross multiply
    242,908.17x = 335,273.31 × 165,511.77
  4. Step 4: Simplify right side
    242,908.17x = 55,491,678,971.86
  5. Step 5: Solve for x
    x = 55,491,678,971.86/242,908.17
  6. Step 6: Final answer
    x = 228,447.15

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1.5x scale

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.