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Finding the Fourth Proportional to 137,141.04, 205,734.60 and 43,675.44

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Solution

The fourth proportional to 137,141.04, 205,734.60 and 43,675.44 is: 65,520.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,141.04 : 205,734.60 = 43,675.44 : x
  2. Step 2: Convert to fraction form
    137,141.04/205,734.60 = 43,675.44/x
  3. Step 3: Cross multiply
    137,141.04x = 205,734.60 × 43,675.44
  4. Step 4: Simplify right side
    137,141.04x = 8,985,549,178.22
  5. Step 5: Solve for x
    x = 8,985,549,178.22/137,141.04
  6. Step 6: Final answer
    x = 65,520.50

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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.