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Finding the Fourth Proportional to 146,217.90, 201,874.53 and 119,424.72

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Solution

The fourth proportional to 146,217.90, 201,874.53 and 119,424.72 is: 164,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,217.90 : 201,874.53 = 119,424.72 : x
  2. Step 2: Convert to fraction form
    146,217.90/201,874.53 = 119,424.72/x
  3. Step 3: Cross multiply
    146,217.90x = 201,874.53 × 119,424.72
  4. Step 4: Simplify right side
    146,217.90x = 24,108,809,220.38
  5. Step 5: Solve for x
    x = 24,108,809,220.38/146,217.90
  6. Step 6: Final answer
    x = 164,882.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.