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Finding the Fourth Proportional to 106,864.60, 160,311.30 and 36,765.40

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Solution

The fourth proportional to 106,864.60, 160,311.30 and 36,765.40 is: 55,153.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,864.60 : 160,311.30 = 36,765.40 : x
  2. Step 2: Convert to fraction form
    106,864.60/160,311.30 = 36,765.40/x
  3. Step 3: Cross multiply
    106,864.60x = 160,311.30 × 36,765.40
  4. Step 4: Simplify right side
    106,864.60x = 5,893,909,069.02
  5. Step 5: Solve for x
    x = 5,893,909,069.02/106,864.60
  6. Step 6: Final answer
    x = 55,153.05

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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.