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Finding the Fourth Proportional to 197,046.30, 295,569.45 and 134,838.30

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Solution

The fourth proportional to 197,046.30, 295,569.45 and 134,838.30 is: 202,257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,046.30 : 295,569.45 = 134,838.30 : x
  2. Step 2: Convert to fraction form
    197,046.30/295,569.45 = 134,838.30/x
  3. Step 3: Cross multiply
    197,046.30x = 295,569.45 × 134,838.30
  4. Step 4: Simplify right side
    197,046.30x = 39,854,082,169.94
  5. Step 5: Solve for x
    x = 39,854,082,169.94/197,046.30
  6. Step 6: Final answer
    x = 202,257.45

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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.