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Finding the Fourth Proportional to 242,221.32, 363,209.86 and 73,709.32

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Solution

The fourth proportional to 242,221.32, 363,209.86 and 73,709.32 is: 110,526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,221.32 : 363,209.86 = 73,709.32 : x
  2. Step 2: Convert to fraction form
    242,221.32/363,209.86 = 73,709.32/x
  3. Step 3: Cross multiply
    242,221.32x = 363,209.86 × 73,709.32
  4. Step 4: Simplify right side
    242,221.32x = 26,771,951,797.90
  5. Step 5: Solve for x
    x = 26,771,951,797.90/242,221.32
  6. Step 6: Final answer
    x = 110,526.82

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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.