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Finding the Fourth Proportional to 137,433.60, 206,150.40 and 114,086.40

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Solution

The fourth proportional to 137,433.60, 206,150.40 and 114,086.40 is: 171,129.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,433.60 : 206,150.40 = 114,086.40 : x
  2. Step 2: Convert to fraction form
    137,433.60/206,150.40 = 114,086.40/x
  3. Step 3: Cross multiply
    137,433.60x = 206,150.40 × 114,086.40
  4. Step 4: Simplify right side
    137,433.60x = 23,518,956,994.56
  5. Step 5: Solve for x
    x = 23,518,956,994.56/137,433.60
  6. Step 6: Final answer
    x = 171,129.60

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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.