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Finding the Fourth Proportional to 120,123.14, 165,786.42 and 69,134.84

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Solution

The fourth proportional to 120,123.14, 165,786.42 and 69,134.84 is: 95,415.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,123.14 : 165,786.42 = 69,134.84 : x
  2. Step 2: Convert to fraction form
    120,123.14/165,786.42 = 69,134.84/x
  3. Step 3: Cross multiply
    120,123.14x = 165,786.42 × 69,134.84
  4. Step 4: Simplify right side
    120,123.14x = 11,461,617,620.87
  5. Step 5: Solve for x
    x = 11,461,617,620.87/120,123.14
  6. Step 6: Final answer
    x = 95,415.57

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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.