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Finding the Fourth Proportional to 104,543.40, 144,269.12 and 56,797.14

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Solution

The fourth proportional to 104,543.40, 144,269.12 and 56,797.14 is: 78,379.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,543.40 : 144,269.12 = 56,797.14 : x
  2. Step 2: Convert to fraction form
    104,543.40/144,269.12 = 56,797.14/x
  3. Step 3: Cross multiply
    104,543.40x = 144,269.12 × 56,797.14
  4. Step 4: Simplify right side
    104,543.40x = 8,194,073,406.32
  5. Step 5: Solve for x
    x = 8,194,073,406.32/104,543.40
  6. Step 6: Final answer
    x = 78,379.63

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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.