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Finding the Fourth Proportional to 193,123.01, 289,629.14 and 58,200.14

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Solution

The fourth proportional to 193,123.01, 289,629.14 and 58,200.14 is: 87,283.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,123.01 : 289,629.14 = 58,200.14 : x
  2. Step 2: Convert to fraction form
    193,123.01/289,629.14 = 58,200.14/x
  3. Step 3: Cross multiply
    193,123.01x = 289,629.14 × 58,200.14
  4. Step 4: Simplify right side
    193,123.01x = 16,856,454,756.93
  5. Step 5: Solve for x
    x = 16,856,454,756.93/193,123.01
  6. Step 6: Final answer
    x = 87,283.52

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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.