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Finding the Fourth Proportional to 229,194.50, 343,929.99 and 97,866.50

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Solution

The fourth proportional to 229,194.50, 343,929.99 and 97,866.50 is: 146,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,194.50 : 343,929.99 = 97,866.50 : x
  2. Step 2: Convert to fraction form
    229,194.50/343,929.99 = 97,866.50/x
  3. Step 3: Cross multiply
    229,194.50x = 343,929.99 × 97,866.50
  4. Step 4: Simplify right side
    229,194.50x = 33,659,224,366.34
  5. Step 5: Solve for x
    x = 33,659,224,366.34/229,194.50
  6. Step 6: Final answer
    x = 146,858.78

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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.