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Finding the Fourth Proportional to 148,894.26, 205,506.48 and 91,582.84

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Solution

The fourth proportional to 148,894.26, 205,506.48 and 91,582.84 is: 126,404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,894.26 : 205,506.48 = 91,582.84 : x
  2. Step 2: Convert to fraction form
    148,894.26/205,506.48 = 91,582.84/x
  3. Step 3: Cross multiply
    148,894.26x = 205,506.48 × 91,582.84
  4. Step 4: Simplify right side
    148,894.26x = 18,820,867,076.80
  5. Step 5: Solve for x
    x = 18,820,867,076.80/148,894.26
  6. Step 6: Final answer
    x = 126,404.25

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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.