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Finding the Fourth Proportional to 149,655.08, 206,524.14 and 82,587.08

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Solution

The fourth proportional to 149,655.08, 206,524.14 and 82,587.08 is: 113,970.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,655.08 : 206,524.14 = 82,587.08 : x
  2. Step 2: Convert to fraction form
    149,655.08/206,524.14 = 82,587.08/x
  3. Step 3: Cross multiply
    149,655.08x = 206,524.14 × 82,587.08
  4. Step 4: Simplify right side
    149,655.08x = 17,056,225,672.11
  5. Step 5: Solve for x
    x = 17,056,225,672.11/149,655.08
  6. Step 6: Final answer
    x = 113,970.24

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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.