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Finding the Fourth Proportional to 106,532.16, 146,961.72 and 69,716.58

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Solution

The fourth proportional to 106,532.16, 146,961.72 and 69,716.58 is: 96,174.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,532.16 : 146,961.72 = 69,716.58 : x
  2. Step 2: Convert to fraction form
    106,532.16/146,961.72 = 69,716.58/x
  3. Step 3: Cross multiply
    106,532.16x = 146,961.72 × 69,716.58
  4. Step 4: Simplify right side
    106,532.16x = 10,245,668,509.32
  5. Step 5: Solve for x
    x = 10,245,668,509.32/106,532.16
  6. Step 6: Final answer
    x = 96,174.42

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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.