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Finding the Fourth Proportional to 280,523.20, 387,115.84 and 153,199.32

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Solution

The fourth proportional to 280,523.20, 387,115.84 and 153,199.32 is: 211,411.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,523.20 : 387,115.84 = 153,199.32 : x
  2. Step 2: Convert to fraction form
    280,523.20/387,115.84 = 153,199.32/x
  3. Step 3: Cross multiply
    280,523.20x = 387,115.84 × 153,199.32
  4. Step 4: Simplify right side
    280,523.20x = 59,305,883,449.23
  5. Step 5: Solve for x
    x = 59,305,883,449.23/280,523.20
  6. Step 6: Final answer
    x = 211,411.69

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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.