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Finding the Fourth Proportional to 175,380.32, 242,027.06 and 106,449.86

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Solution

The fourth proportional to 175,380.32, 242,027.06 and 106,449.86 is: 146,902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,380.32 : 242,027.06 = 106,449.86 : x
  2. Step 2: Convert to fraction form
    175,380.32/242,027.06 = 106,449.86/x
  3. Step 3: Cross multiply
    175,380.32x = 242,027.06 × 106,449.86
  4. Step 4: Simplify right side
    175,380.32x = 25,763,746,726.03
  5. Step 5: Solve for x
    x = 25,763,746,726.03/175,380.32
  6. Step 6: Final answer
    x = 146,902.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.