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Finding the Fourth Proportional to 280,286.60, 420,381.30 and 102,702.20

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Solution

The fourth proportional to 280,286.60, 420,381.30 and 102,702.20 is: 154,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,286.60 : 420,381.30 = 102,702.20 : x
  2. Step 2: Convert to fraction form
    280,286.60/420,381.30 = 102,702.20/x
  3. Step 3: Cross multiply
    280,286.60x = 420,381.30 × 102,702.20
  4. Step 4: Simplify right side
    280,286.60x = 43,174,084,348.86
  5. Step 5: Solve for x
    x = 43,174,084,348.86/280,286.60
  6. Step 6: Final answer
    x = 154,035.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.