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Finding the Fourth Proportional to 229,195.50, 343,931.49 and 97,867.50

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Solution

The fourth proportional to 229,195.50, 343,931.49 and 97,867.50 is: 146,860.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,195.50 : 343,931.49 = 97,867.50 : x
  2. Step 2: Convert to fraction form
    229,195.50/343,931.49 = 97,867.50/x
  3. Step 3: Cross multiply
    229,195.50x = 343,931.49 × 97,867.50
  4. Step 4: Simplify right side
    229,195.50x = 33,659,715,097.58
  5. Step 5: Solve for x
    x = 33,659,715,097.58/229,195.50
  6. Step 6: Final answer
    x = 146,860.28

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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.