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Finding the Fourth Proportional to 156,963.84, 235,412.46 and 51,757.80

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Solution

The fourth proportional to 156,963.84, 235,412.46 and 51,757.80 is: 77,625.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,963.84 : 235,412.46 = 51,757.80 : x
  2. Step 2: Convert to fraction form
    156,963.84/235,412.46 = 51,757.80/x
  3. Step 3: Cross multiply
    156,963.84x = 235,412.46 × 51,757.80
  4. Step 4: Simplify right side
    156,963.84x = 12,184,431,022.19
  5. Step 5: Solve for x
    x = 12,184,431,022.19/156,963.84
  6. Step 6: Final answer
    x = 77,625.72

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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.