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Finding the Fourth Proportional to 166,709.14, 230,103.08 and 103,010.94

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Solution

The fourth proportional to 166,709.14, 230,103.08 and 103,010.94 is: 142,182.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,709.14 : 230,103.08 = 103,010.94 : x
  2. Step 2: Convert to fraction form
    166,709.14/230,103.08 = 103,010.94/x
  3. Step 3: Cross multiply
    166,709.14x = 230,103.08 × 103,010.94
  4. Step 4: Simplify right side
    166,709.14x = 23,703,134,438.93
  5. Step 5: Solve for x
    x = 23,703,134,438.93/166,709.14
  6. Step 6: Final answer
    x = 142,182.57

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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.