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Finding the Fourth Proportional to 202,280.56, 279,137.71 and 116,178.98

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Solution

The fourth proportional to 202,280.56, 279,137.71 and 116,178.98 is: 160,321.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,280.56 : 279,137.71 = 116,178.98 : x
  2. Step 2: Convert to fraction form
    202,280.56/279,137.71 = 116,178.98/x
  3. Step 3: Cross multiply
    202,280.56x = 279,137.71 × 116,178.98
  4. Step 4: Simplify right side
    202,280.56x = 32,429,933,176.87
  5. Step 5: Solve for x
    x = 32,429,933,176.87/202,280.56
  6. Step 6: Final answer
    x = 160,321.55

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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.