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Finding the Fourth Proportional to 256,409.10, 353,865.24 and 141,697.85

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Solution

The fourth proportional to 256,409.10, 353,865.24 and 141,697.85 is: 195,554.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,409.10 : 353,865.24 = 141,697.85 : x
  2. Step 2: Convert to fraction form
    256,409.10/353,865.24 = 141,697.85/x
  3. Step 3: Cross multiply
    256,409.10x = 353,865.24 × 141,697.85
  4. Step 4: Simplify right side
    256,409.10x = 50,141,941,928.41
  5. Step 5: Solve for x
    x = 50,141,941,928.41/256,409.10
  6. Step 6: Final answer
    x = 195,554.46

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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.