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Finding the Fourth Proportional to 109,854.80, 164,782.20 and 99,357.20

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Solution

The fourth proportional to 109,854.80, 164,782.20 and 99,357.20 is: 149,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,854.80 : 164,782.20 = 99,357.20 : x
  2. Step 2: Convert to fraction form
    109,854.80/164,782.20 = 99,357.20/x
  3. Step 3: Cross multiply
    109,854.80x = 164,782.20 × 99,357.20
  4. Step 4: Simplify right side
    109,854.80x = 16,372,298,001.84
  5. Step 5: Solve for x
    x = 16,372,298,001.84/109,854.80
  6. Step 6: Final answer
    x = 149,035.80

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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.