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Finding the Fourth Proportional to 105,504.75, 158,296.01 and 55,582.83

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Solution

The fourth proportional to 105,504.75, 158,296.01 and 55,582.83 is: 83,394.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,504.75 : 158,296.01 = 55,582.83 : x
  2. Step 2: Convert to fraction form
    105,504.75/158,296.01 = 55,582.83/x
  3. Step 3: Cross multiply
    105,504.75x = 158,296.01 × 55,582.83
  4. Step 4: Simplify right side
    105,504.75x = 8,798,539,935.59
  5. Step 5: Solve for x
    x = 8,798,539,935.59/105,504.75
  6. Step 6: Final answer
    x = 83,394.73

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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.