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Finding the Fourth Proportional to 116,042.13, 174,065.64 and 37,156.14

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Solution

The fourth proportional to 116,042.13, 174,065.64 and 37,156.14 is: 55,734.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,042.13 : 174,065.64 = 37,156.14 : x
  2. Step 2: Convert to fraction form
    116,042.13/174,065.64 = 37,156.14/x
  3. Step 3: Cross multiply
    116,042.13x = 174,065.64 × 37,156.14
  4. Step 4: Simplify right side
    116,042.13x = 6,467,607,289.03
  5. Step 5: Solve for x
    x = 6,467,607,289.03/116,042.13
  6. Step 6: Final answer
    x = 55,734.99

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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.