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Finding the Fourth Proportional to 256,486.54, 353,767.82 and 180,022.69

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Solution

The fourth proportional to 256,486.54, 353,767.82 and 180,022.69 is: 248,302.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,486.54 : 353,767.82 = 180,022.69 : x
  2. Step 2: Convert to fraction form
    256,486.54/353,767.82 = 180,022.69/x
  3. Step 3: Cross multiply
    256,486.54x = 353,767.82 × 180,022.69
  4. Step 4: Simplify right side
    256,486.54x = 63,686,233,691.72
  5. Step 5: Solve for x
    x = 63,686,233,691.72/256,486.54
  6. Step 6: Final answer
    x = 248,302.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.