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Finding the Fourth Proportional to 180,282.83, 270,468.52 and 61,955.87

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Solution

The fourth proportional to 180,282.83, 270,468.52 and 61,955.87 is: 92,949.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,282.83 : 270,468.52 = 61,955.87 : x
  2. Step 2: Convert to fraction form
    180,282.83/270,468.52 = 61,955.87/x
  3. Step 3: Cross multiply
    180,282.83x = 270,468.52 × 61,955.87
  4. Step 4: Simplify right side
    180,282.83x = 16,757,110,956.98
  5. Step 5: Solve for x
    x = 16,757,110,956.98/180,282.83
  6. Step 6: Final answer
    x = 92,949.01

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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.