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Finding the Fourth Proportional to 256,224.59, 353,633.20 and 148,856.90

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Solution

The fourth proportional to 256,224.59, 353,633.20 and 148,856.90 is: 205,447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,224.59 : 353,633.20 = 148,856.90 : x
  2. Step 2: Convert to fraction form
    256,224.59/353,633.20 = 148,856.90/x
  3. Step 3: Cross multiply
    256,224.59x = 353,633.20 × 148,856.90
  4. Step 4: Simplify right side
    256,224.59x = 52,640,742,810.91
  5. Step 5: Solve for x
    x = 52,640,742,810.91/256,224.59
  6. Step 6: Final answer
    x = 205,447.66

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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.