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Finding the Fourth Proportional to 180,689.67, 249,358.23 and 109,055.70

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Solution

The fourth proportional to 180,689.67, 249,358.23 and 109,055.70 is: 150,500.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,689.67 : 249,358.23 = 109,055.70 : x
  2. Step 2: Convert to fraction form
    180,689.67/249,358.23 = 109,055.70/x
  3. Step 3: Cross multiply
    180,689.67x = 249,358.23 × 109,055.70
  4. Step 4: Simplify right side
    180,689.67x = 27,193,936,323.41
  5. Step 5: Solve for x
    x = 27,193,936,323.41/180,689.67
  6. Step 6: Final answer
    x = 150,500.78

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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.