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Finding the Fourth Proportional to 256,037.44, 353,172 and 184,303.84

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Solution

The fourth proportional to 256,037.44, 353,172 and 184,303.84 is: 254,224.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,037.44 : 353,172 = 184,303.84 : x
  2. Step 2: Convert to fraction form
    256,037.44/353,172 = 184,303.84/x
  3. Step 3: Cross multiply
    256,037.44x = 353,172 × 184,303.84
  4. Step 4: Simplify right side
    256,037.44x = 65,090,955,780.48
  5. Step 5: Solve for x
    x = 65,090,955,780.48/256,037.44
  6. Step 6: Final answer
    x = 254,224.37

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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.