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Finding the Fourth Proportional to 84,169.23, 116,153.48 and 53,954.54

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Solution

The fourth proportional to 84,169.23, 116,153.48 and 53,954.54 is: 74,457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,169.23 : 116,153.48 = 53,954.54 : x
  2. Step 2: Convert to fraction form
    84,169.23/116,153.48 = 53,954.54/x
  3. Step 3: Cross multiply
    84,169.23x = 116,153.48 × 53,954.54
  4. Step 4: Simplify right side
    84,169.23x = 6,267,006,732.26
  5. Step 5: Solve for x
    x = 6,267,006,732.26/84,169.23
  6. Step 6: Final answer
    x = 74,457.22

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1.5x scale

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.