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Finding the Fourth Proportional to 106,394.75, 146,825.76 and 58,649.81

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Solution

The fourth proportional to 106,394.75, 146,825.76 and 58,649.81 is: 80,937.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,394.75 : 146,825.76 = 58,649.81 : x
  2. Step 2: Convert to fraction form
    106,394.75/146,825.76 = 58,649.81/x
  3. Step 3: Cross multiply
    106,394.75x = 146,825.76 × 58,649.81
  4. Step 4: Simplify right side
    106,394.75x = 8,611,302,927.11
  5. Step 5: Solve for x
    x = 8,611,302,927.11/106,394.75
  6. Step 6: Final answer
    x = 80,937.29

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1.5x scale

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.