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Finding the Fourth Proportional to 116,097.84, 174,089.05 and 37,201.82

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Solution

The fourth proportional to 116,097.84, 174,089.05 and 37,201.82 is: 55,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,097.84 : 174,089.05 = 37,201.82 : x
  2. Step 2: Convert to fraction form
    116,097.84/174,089.05 = 37,201.82/x
  3. Step 3: Cross multiply
    116,097.84x = 174,089.05 × 37,201.82
  4. Step 4: Simplify right side
    116,097.84x = 6,476,428,538.62
  5. Step 5: Solve for x
    x = 6,476,428,538.62/116,097.84
  6. Step 6: Final answer
    x = 55,784.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.