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Finding the Fourth Proportional to 116,406.23, 174,451.45 and 53,147.94

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Solution

The fourth proportional to 116,406.23, 174,451.45 and 53,147.94 is: 79,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,406.23 : 174,451.45 = 53,147.94 : x
  2. Step 2: Convert to fraction form
    116,406.23/174,451.45 = 53,147.94/x
  3. Step 3: Cross multiply
    116,406.23x = 174,451.45 × 53,147.94
  4. Step 4: Simplify right side
    116,406.23x = 9,271,735,197.51
  5. Step 5: Solve for x
    x = 9,271,735,197.51/116,406.23
  6. Step 6: Final answer
    x = 79,649.82

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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.