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Finding the Fourth Proportional to 148,673.48, 205,119.14 and 84,965.90

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Solution

The fourth proportional to 148,673.48, 205,119.14 and 84,965.90 is: 117,224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,673.48 : 205,119.14 = 84,965.90 : x
  2. Step 2: Convert to fraction form
    148,673.48/205,119.14 = 84,965.90/x
  3. Step 3: Cross multiply
    148,673.48x = 205,119.14 × 84,965.90
  4. Step 4: Simplify right side
    148,673.48x = 17,428,132,337.33
  5. Step 5: Solve for x
    x = 17,428,132,337.33/148,673.48
  6. Step 6: Final answer
    x = 117,224.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.