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Finding the Fourth Proportional to 205,374.42, 283,396.32 and 114,728.43

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Solution

The fourth proportional to 205,374.42, 283,396.32 and 114,728.43 is: 158,313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,374.42 : 283,396.32 = 114,728.43 : x
  2. Step 2: Convert to fraction form
    205,374.42/283,396.32 = 114,728.43/x
  3. Step 3: Cross multiply
    205,374.42x = 283,396.32 × 114,728.43
  4. Step 4: Simplify right side
    205,374.42x = 32,513,615,924.11
  5. Step 5: Solve for x
    x = 32,513,615,924.11/205,374.42
  6. Step 6: Final answer
    x = 158,313.85

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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.