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Finding the Fourth Proportional to 180,284.08, 270,470.40 and 61,957.12

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Solution

The fourth proportional to 180,284.08, 270,470.40 and 61,957.12 is: 92,950.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,284.08 : 270,470.40 = 61,957.12 : x
  2. Step 2: Convert to fraction form
    180,284.08/270,470.40 = 61,957.12/x
  3. Step 3: Cross multiply
    180,284.08x = 270,470.40 × 61,957.12
  4. Step 4: Simplify right side
    180,284.08x = 16,757,565,367.11
  5. Step 5: Solve for x
    x = 16,757,565,367.11/180,284.08
  6. Step 6: Final answer
    x = 92,950.89

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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.