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Finding the Fourth Proportional to 296,743.86, 445,116.35 and 72,104.49

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Solution

The fourth proportional to 296,743.86, 445,116.35 and 72,104.49 is: 108,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,743.86 : 445,116.35 = 72,104.49 : x
  2. Step 2: Convert to fraction form
    296,743.86/445,116.35 = 72,104.49/x
  3. Step 3: Cross multiply
    296,743.86x = 445,116.35 × 72,104.49
  4. Step 4: Simplify right side
    296,743.86x = 32,094,887,407.41
  5. Step 5: Solve for x
    x = 32,094,887,407.41/296,743.86
  6. Step 6: Final answer
    x = 108,156.87

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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.