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Finding the Fourth Proportional to 140,115.10, 209,941.80 and 80,847.40

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Solution

The fourth proportional to 140,115.10, 209,941.80 and 80,847.40 is: 121,137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,115.10 : 209,941.80 = 80,847.40 : x
  2. Step 2: Convert to fraction form
    140,115.10/209,941.80 = 80,847.40/x
  3. Step 3: Cross multiply
    140,115.10x = 209,941.80 × 80,847.40
  4. Step 4: Simplify right side
    140,115.10x = 16,973,248,681.32
  5. Step 5: Solve for x
    x = 16,973,248,681.32/140,115.10
  6. Step 6: Final answer
    x = 121,137.90

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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.