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Finding the Fourth Proportional to 220,657.96, 304,507.14 and 120,057.64

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Solution

The fourth proportional to 220,657.96, 304,507.14 and 120,057.64 is: 165,679.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,657.96 : 304,507.14 = 120,057.64 : x
  2. Step 2: Convert to fraction form
    220,657.96/304,507.14 = 120,057.64/x
  3. Step 3: Cross multiply
    220,657.96x = 304,507.14 × 120,057.64
  4. Step 4: Simplify right side
    220,657.96x = 36,558,408,591.55
  5. Step 5: Solve for x
    x = 36,558,408,591.55/220,657.96
  6. Step 6: Final answer
    x = 165,679.08

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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.