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Finding the Fourth Proportional to 116,829.69, 175,119.39 and 83,448.51

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Solution

The fourth proportional to 116,829.69, 175,119.39 and 83,448.51 is: 125,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,829.69 : 175,119.39 = 83,448.51 : x
  2. Step 2: Convert to fraction form
    116,829.69/175,119.39 = 83,448.51/x
  3. Step 3: Cross multiply
    116,829.69x = 175,119.39 × 83,448.51
  4. Step 4: Simplify right side
    116,829.69x = 14,613,452,167.61
  5. Step 5: Solve for x
    x = 14,613,452,167.61/116,829.69
  6. Step 6: Final answer
    x = 125,083.38

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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.