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Finding the Fourth Proportional to 229,202.50, 343,942 and 97,874.50

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Solution

The fourth proportional to 229,202.50, 343,942 and 97,874.50 is: 146,870.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,202.50 : 343,942 = 97,874.50 : x
  2. Step 2: Convert to fraction form
    229,202.50/343,942 = 97,874.50/x
  3. Step 3: Cross multiply
    229,202.50x = 343,942 × 97,874.50
  4. Step 4: Simplify right side
    229,202.50x = 33,663,151,279
  5. Step 5: Solve for x
    x = 33,663,151,279/229,202.50
  6. Step 6: Final answer
    x = 146,870.79

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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.