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Finding the Fourth Proportional to 195,787.64, 293,681.72 and 53,634.16

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Solution

The fourth proportional to 195,787.64, 293,681.72 and 53,634.16 is: 80,451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,787.64 : 293,681.72 = 53,634.16 : x
  2. Step 2: Convert to fraction form
    195,787.64/293,681.72 = 53,634.16/x
  3. Step 3: Cross multiply
    195,787.64x = 293,681.72 × 53,634.16
  4. Step 4: Simplify right side
    195,787.64x = 15,751,372,860.74
  5. Step 5: Solve for x
    x = 15,751,372,860.74/195,787.64
  6. Step 6: Final answer
    x = 80,451.31

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Why These Related Problems?

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