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Finding the Fourth Proportional to 232,781.77, 349,192.77 and 64,302.04

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Solution

The fourth proportional to 232,781.77, 349,192.77 and 64,302.04 is: 96,458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,781.77 : 349,192.77 = 64,302.04 : x
  2. Step 2: Convert to fraction form
    232,781.77/349,192.77 = 64,302.04/x
  3. Step 3: Cross multiply
    232,781.77x = 349,192.77 × 64,302.04
  4. Step 4: Simplify right side
    232,781.77x = 22,453,807,464.25
  5. Step 5: Solve for x
    x = 22,453,807,464.25/232,781.77
  6. Step 6: Final answer
    x = 96,458.62

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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.