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Finding the Fourth Proportional to 111,886.57, 154,296.14 and 75,175.80

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Solution

The fourth proportional to 111,886.57, 154,296.14 and 75,175.80 is: 103,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,886.57 : 154,296.14 = 75,175.80 : x
  2. Step 2: Convert to fraction form
    111,886.57/154,296.14 = 75,175.80/x
  3. Step 3: Cross multiply
    111,886.57x = 154,296.14 × 75,175.80
  4. Step 4: Simplify right side
    111,886.57x = 11,599,336,056.75
  5. Step 5: Solve for x
    x = 11,599,336,056.75/111,886.57
  6. Step 6: Final answer
    x = 103,670.50

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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.