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Finding the Fourth Proportional to 107,209.62, 147,954 and 59,459.76

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Solution

The fourth proportional to 107,209.62, 147,954 and 59,459.76 is: 82,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,209.62 : 147,954 = 59,459.76 : x
  2. Step 2: Convert to fraction form
    107,209.62/147,954 = 59,459.76/x
  3. Step 3: Cross multiply
    107,209.62x = 147,954 × 59,459.76
  4. Step 4: Simplify right side
    107,209.62x = 8,797,309,331.04
  5. Step 5: Solve for x
    x = 8,797,309,331.04/107,209.62
  6. Step 6: Final answer
    x = 82,057.09

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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.