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Finding the Fourth Proportional to 180,896.12, 249,651.61 and 100,349.66

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Solution

The fourth proportional to 180,896.12, 249,651.61 and 100,349.66 is: 138,490.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,896.12 : 249,651.61 = 100,349.66 : x
  2. Step 2: Convert to fraction form
    180,896.12/249,651.61 = 100,349.66/x
  3. Step 3: Cross multiply
    180,896.12x = 249,651.61 × 100,349.66
  4. Step 4: Simplify right side
    180,896.12x = 25,052,454,555.21
  5. Step 5: Solve for x
    x = 25,052,454,555.21/180,896.12
  6. Step 6: Final answer
    x = 138,490.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.