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Finding the Fourth Proportional to 256,194.36, 353,579.28 and 148,764.36

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Solution

The fourth proportional to 256,194.36, 353,579.28 and 148,764.36 is: 205,312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,194.36 : 353,579.28 = 148,764.36 : x
  2. Step 2: Convert to fraction form
    256,194.36/353,579.28 = 148,764.36/x
  3. Step 3: Cross multiply
    256,194.36x = 353,579.28 × 148,764.36
  4. Step 4: Simplify right side
    256,194.36x = 52,599,995,298.46
  5. Step 5: Solve for x
    x = 52,599,995,298.46/256,194.36
  6. Step 6: Final answer
    x = 205,312.85

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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.