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Finding the Fourth Proportional to 229,208.68, 343,850.82 and 96,098.80

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Solution

The fourth proportional to 229,208.68, 343,850.82 and 96,098.80 is: 144,164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,208.68 : 343,850.82 = 96,098.80 : x
  2. Step 2: Convert to fraction form
    229,208.68/343,850.82 = 96,098.80/x
  3. Step 3: Cross multiply
    229,208.68x = 343,850.82 × 96,098.80
  4. Step 4: Simplify right side
    229,208.68x = 33,043,651,181.02
  5. Step 5: Solve for x
    x = 33,043,651,181.02/229,208.68
  6. Step 6: Final answer
    x = 144,164.05

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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.