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Finding the Fourth Proportional to 106,509.84, 146,878.58 and 82,627.80

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Solution

The fourth proportional to 106,509.84, 146,878.58 and 82,627.80 is: 113,944.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,509.84 : 146,878.58 = 82,627.80 : x
  2. Step 2: Convert to fraction form
    106,509.84/146,878.58 = 82,627.80/x
  3. Step 3: Cross multiply
    106,509.84x = 146,878.58 × 82,627.80
  4. Step 4: Simplify right side
    106,509.84x = 12,136,253,932.52
  5. Step 5: Solve for x
    x = 12,136,253,932.52/106,509.84
  6. Step 6: Final answer
    x = 113,944.91

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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.