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Finding the Fourth Proportional to 180,216.32, 270,257.28 and 61,854.08

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Solution

The fourth proportional to 180,216.32, 270,257.28 and 61,854.08 is: 92,758.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,216.32 : 270,257.28 = 61,854.08 : x
  2. Step 2: Convert to fraction form
    180,216.32/270,257.28 = 61,854.08/x
  3. Step 3: Cross multiply
    180,216.32x = 270,257.28 × 61,854.08
  4. Step 4: Simplify right side
    180,216.32x = 16,716,515,417.70
  5. Step 5: Solve for x
    x = 16,716,515,417.70/180,216.32
  6. Step 6: Final answer
    x = 92,758.06

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