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Finding the Fourth Proportional to 280,662.24, 387,318.96 and 153,343.20

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Solution

The fourth proportional to 280,662.24, 387,318.96 and 153,343.20 is: 211,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,662.24 : 387,318.96 = 153,343.20 : x
  2. Step 2: Convert to fraction form
    280,662.24/387,318.96 = 153,343.20/x
  3. Step 3: Cross multiply
    280,662.24x = 387,318.96 × 153,343.20
  4. Step 4: Simplify right side
    280,662.24x = 59,392,728,747.07
  5. Step 5: Solve for x
    x = 59,392,728,747.07/280,662.24
  6. Step 6: Final answer
    x = 211,616.39

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Why These Related Problems?

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