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Finding the Fourth Proportional to 229,193.50, 343,928.50 and 97,865.50

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Solution

The fourth proportional to 229,193.50, 343,928.50 and 97,865.50 is: 146,857.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,193.50 : 343,928.50 = 97,865.50 : x
  2. Step 2: Convert to fraction form
    229,193.50/343,928.50 = 97,865.50/x
  3. Step 3: Cross multiply
    229,193.50x = 343,928.50 × 97,865.50
  4. Step 4: Simplify right side
    229,193.50x = 33,658,734,616.75
  5. Step 5: Solve for x
    x = 33,658,734,616.75/229,193.50
  6. Step 6: Final answer
    x = 146,857.28

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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.