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Finding the Fourth Proportional to 102,221.44, 153,322.08 and 32,098.88

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Solution

The fourth proportional to 102,221.44, 153,322.08 and 32,098.88 is: 48,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,221.44 : 153,322.08 = 32,098.88 : x
  2. Step 2: Convert to fraction form
    102,221.44/153,322.08 = 32,098.88/x
  3. Step 3: Cross multiply
    102,221.44x = 153,322.08 × 32,098.88
  4. Step 4: Simplify right side
    102,221.44x = 4,921,467,047.27
  5. Step 5: Solve for x
    x = 4,921,467,047.27/102,221.44
  6. Step 6: Final answer
    x = 48,145.15

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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.