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Finding the Fourth Proportional to 156,047.68, 233,672.64 and 85,849.92

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Solution

The fourth proportional to 156,047.68, 233,672.64 and 85,849.92 is: 128,555.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,047.68 : 233,672.64 = 85,849.92 : x
  2. Step 2: Convert to fraction form
    156,047.68/233,672.64 = 85,849.92/x
  3. Step 3: Cross multiply
    156,047.68x = 233,672.64 × 85,849.92
  4. Step 4: Simplify right side
    156,047.68x = 20,060,777,450.19
  5. Step 5: Solve for x
    x = 20,060,777,450.19/156,047.68
  6. Step 6: Final answer
    x = 128,555.44

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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.