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Finding the Fourth Proportional to 196,525.17, 294,787.71 and 48,781.17

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Solution

The fourth proportional to 196,525.17, 294,787.71 and 48,781.17 is: 73,171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,525.17 : 294,787.71 = 48,781.17 : x
  2. Step 2: Convert to fraction form
    196,525.17/294,787.71 = 48,781.17/x
  3. Step 3: Cross multiply
    196,525.17x = 294,787.71 × 48,781.17
  4. Step 4: Simplify right side
    196,525.17x = 14,380,089,395.42
  5. Step 5: Solve for x
    x = 14,380,089,395.42/196,525.17
  6. Step 6: Final answer
    x = 73,171.74

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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.