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Finding the Fourth Proportional to 274,644.64, 378,803.28 and 184,102.72

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Solution

The fourth proportional to 274,644.64, 378,803.28 and 184,102.72 is: 253,923.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,644.64 : 378,803.28 = 184,102.72 : x
  2. Step 2: Convert to fraction form
    274,644.64/378,803.28 = 184,102.72/x
  3. Step 3: Cross multiply
    274,644.64x = 378,803.28 × 184,102.72
  4. Step 4: Simplify right side
    274,644.64x = 69,738,714,192.92
  5. Step 5: Solve for x
    x = 69,738,714,192.92/274,644.64
  6. Step 6: Final answer
    x = 253,923.45

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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.