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Finding the Fourth Proportional to 116,235.68, 174,462.66 and 57,113.78

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Solution

The fourth proportional to 116,235.68, 174,462.66 and 57,113.78 is: 85,724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,235.68 : 174,462.66 = 57,113.78 : x
  2. Step 2: Convert to fraction form
    116,235.68/174,462.66 = 57,113.78/x
  3. Step 3: Cross multiply
    116,235.68x = 174,462.66 × 57,113.78
  4. Step 4: Simplify right side
    116,235.68x = 9,964,221,109.14
  5. Step 5: Solve for x
    x = 9,964,221,109.14/116,235.68
  6. Step 6: Final answer
    x = 85,724.29

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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.