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Finding the Fourth Proportional to 116,414.87, 174,567.02 and 53,216.24

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Solution

The fourth proportional to 116,414.87, 174,567.02 and 53,216.24 is: 79,799.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,414.87 : 174,567.02 = 53,216.24 : x
  2. Step 2: Convert to fraction form
    116,414.87/174,567.02 = 53,216.24/x
  3. Step 3: Cross multiply
    116,414.87x = 174,567.02 × 53,216.24
  4. Step 4: Simplify right side
    116,414.87x = 9,289,799,293.49
  5. Step 5: Solve for x
    x = 9,289,799,293.49/116,414.87
  6. Step 6: Final answer
    x = 79,799.08

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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.