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Finding the Fourth Proportional to 147,954.52, 204,166.74 and 84,280.60

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Solution

The fourth proportional to 147,954.52, 204,166.74 and 84,280.60 is: 116,301.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,954.52 : 204,166.74 = 84,280.60 : x
  2. Step 2: Convert to fraction form
    147,954.52/204,166.74 = 84,280.60/x
  3. Step 3: Cross multiply
    147,954.52x = 204,166.74 × 84,280.60
  4. Step 4: Simplify right side
    147,954.52x = 17,207,295,347.24
  5. Step 5: Solve for x
    x = 17,207,295,347.24/147,954.52
  6. Step 6: Final answer
    x = 116,301.25

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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.