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Finding the Fourth Proportional to 229,185.50, 343,916.49 and 97,857.50

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Solution

The fourth proportional to 229,185.50, 343,916.49 and 97,857.50 is: 146,845.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,185.50 : 343,916.49 = 97,857.50 : x
  2. Step 2: Convert to fraction form
    229,185.50/343,916.49 = 97,857.50/x
  3. Step 3: Cross multiply
    229,185.50x = 343,916.49 × 97,857.50
  4. Step 4: Simplify right side
    229,185.50x = 33,654,807,920.18
  5. Step 5: Solve for x
    x = 33,654,807,920.18/229,185.50
  6. Step 6: Final answer
    x = 146,845.28

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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.