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Finding the Fourth Proportional to 104,978.14, 144,864.60 and 59,650.14

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Solution

The fourth proportional to 104,978.14, 144,864.60 and 59,650.14 is: 82,314.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,978.14 : 144,864.60 = 59,650.14 : x
  2. Step 2: Convert to fraction form
    104,978.14/144,864.60 = 59,650.14/x
  3. Step 3: Cross multiply
    104,978.14x = 144,864.60 × 59,650.14
  4. Step 4: Simplify right side
    104,978.14x = 8,641,193,671.04
  5. Step 5: Solve for x
    x = 8,641,193,671.04/104,978.14
  6. Step 6: Final answer
    x = 82,314.22

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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.