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Finding the Fourth Proportional to 104,382, 144,046.20 and 56,636.88

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Solution

The fourth proportional to 104,382, 144,046.20 and 56,636.88 is: 78,158.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,382 : 144,046.20 = 56,636.88 : x
  2. Step 2: Convert to fraction form
    104,382/144,046.20 = 56,636.88/x
  3. Step 3: Cross multiply
    104,382x = 144,046.20 × 56,636.88
  4. Step 4: Simplify right side
    104,382x = 8,158,327,343.86
  5. Step 5: Solve for x
    x = 8,158,327,343.86/104,382
  6. Step 6: Final answer
    x = 78,158.37

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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.