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Finding the Fourth Proportional to 147,507.64, 203,567.78 and 82,997.08

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Solution

The fourth proportional to 147,507.64, 203,567.78 and 82,997.08 is: 114,540.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,507.64 : 203,567.78 = 82,997.08 : x
  2. Step 2: Convert to fraction form
    147,507.64/203,567.78 = 82,997.08/x
  3. Step 3: Cross multiply
    147,507.64x = 203,567.78 × 82,997.08
  4. Step 4: Simplify right side
    147,507.64x = 16,895,531,322.08
  5. Step 5: Solve for x
    x = 16,895,531,322.08/147,507.64
  6. Step 6: Final answer
    x = 114,540.04

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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.