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Finding the Fourth Proportional to 149,070.52, 205,720.58 and 82,002.52

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Solution

The fourth proportional to 149,070.52, 205,720.58 and 82,002.52 is: 113,165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,070.52 : 205,720.58 = 82,002.52 : x
  2. Step 2: Convert to fraction form
    149,070.52/205,720.58 = 82,002.52/x
  3. Step 3: Cross multiply
    149,070.52x = 205,720.58 × 82,002.52
  4. Step 4: Simplify right side
    149,070.52x = 16,869,605,975.86
  5. Step 5: Solve for x
    x = 16,869,605,975.86/149,070.52
  6. Step 6: Final answer
    x = 113,165.27

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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.