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Finding the Fourth Proportional to 242,878.86, 335,058.44 and 157,964.94

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Solution

The fourth proportional to 242,878.86, 335,058.44 and 157,964.94 is: 217,917.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,878.86 : 335,058.44 = 157,964.94 : x
  2. Step 2: Convert to fraction form
    242,878.86/335,058.44 = 157,964.94/x
  3. Step 3: Cross multiply
    242,878.86x = 335,058.44 × 157,964.94
  4. Step 4: Simplify right side
    242,878.86x = 52,927,485,581.27
  5. Step 5: Solve for x
    x = 52,927,485,581.27/242,878.86
  6. Step 6: Final answer
    x = 217,917.22

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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.