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Finding the Fourth Proportional to 116,419.97, 174,483.95 and 49,781.88

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Solution

The fourth proportional to 116,419.97, 174,483.95 and 49,781.88 is: 74,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,419.97 : 174,483.95 = 49,781.88 : x
  2. Step 2: Convert to fraction form
    116,419.97/174,483.95 = 49,781.88/x
  3. Step 3: Cross multiply
    116,419.97x = 174,483.95 × 49,781.88
  4. Step 4: Simplify right side
    116,419.97x = 8,686,138,811.92
  5. Step 5: Solve for x
    x = 8,686,138,811.92/116,419.97
  6. Step 6: Final answer
    x = 74,610.39

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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.