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Finding the Fourth Proportional to 276,096.96, 413,866.80 and 107,511.84

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Solution

The fourth proportional to 276,096.96, 413,866.80 and 107,511.84 is: 161,159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,096.96 : 413,866.80 = 107,511.84 : x
  2. Step 2: Convert to fraction form
    276,096.96/413,866.80 = 107,511.84/x
  3. Step 3: Cross multiply
    276,096.96x = 413,866.80 × 107,511.84
  4. Step 4: Simplify right side
    276,096.96x = 44,495,581,182.91
  5. Step 5: Solve for x
    x = 44,495,581,182.91/276,096.96
  6. Step 6: Final answer
    x = 161,159.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.