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Finding the Fourth Proportional to 106,212.90, 146,573.76 and 58,466

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Solution

The fourth proportional to 106,212.90, 146,573.76 and 58,466 is: 80,683.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,212.90 : 146,573.76 = 58,466 : x
  2. Step 2: Convert to fraction form
    106,212.90/146,573.76 = 58,466/x
  3. Step 3: Cross multiply
    106,212.90x = 146,573.76 × 58,466
  4. Step 4: Simplify right side
    106,212.90x = 8,569,581,452.16
  5. Step 5: Solve for x
    x = 8,569,581,452.16/106,212.90
  6. Step 6: Final answer
    x = 80,683.06

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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.