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Finding the Fourth Proportional to 180,790.07, 249,464.07 and 100,217.57

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Solution

The fourth proportional to 180,790.07, 249,464.07 and 100,217.57 is: 138,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,790.07 : 249,464.07 = 100,217.57 : x
  2. Step 2: Convert to fraction form
    180,790.07/249,464.07 = 100,217.57/x
  3. Step 3: Cross multiply
    180,790.07x = 249,464.07 × 100,217.57
  4. Step 4: Simplify right side
    180,790.07x = 25,000,681,650.39
  5. Step 5: Solve for x
    x = 25,000,681,650.39/180,790.07
  6. Step 6: Final answer
    x = 138,285.71

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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.