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Finding the Fourth Proportional to 188,596.29, 260,199.15 and 106,915.80

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Solution

The fourth proportional to 188,596.29, 260,199.15 and 106,915.80 is: 147,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,596.29 : 260,199.15 = 106,915.80 : x
  2. Step 2: Convert to fraction form
    188,596.29/260,199.15 = 106,915.80/x
  3. Step 3: Cross multiply
    188,596.29x = 260,199.15 × 106,915.80
  4. Step 4: Simplify right side
    188,596.29x = 27,819,400,281.57
  5. Step 5: Solve for x
    x = 27,819,400,281.57/188,596.29
  6. Step 6: Final answer
    x = 147,507.68

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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.