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Finding the Fourth Proportional to 193,199.58, 289,433.57 and 128,964.03

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Solution

The fourth proportional to 193,199.58, 289,433.57 and 128,964.03 is: 193,201.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,199.58 : 289,433.57 = 128,964.03 : x
  2. Step 2: Convert to fraction form
    193,199.58/289,433.57 = 128,964.03/x
  3. Step 3: Cross multiply
    193,199.58x = 289,433.57 × 128,964.03
  4. Step 4: Simplify right side
    193,199.58x = 37,326,518,841.52
  5. Step 5: Solve for x
    x = 37,326,518,841.52/193,199.58
  6. Step 6: Final answer
    x = 193,201.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.