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Finding the Fourth Proportional to 84,168.80, 116,152.89 and 53,954.11

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Solution

The fourth proportional to 84,168.80, 116,152.89 and 53,954.11 is: 74,456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,168.80 : 116,152.89 = 53,954.11 : x
  2. Step 2: Convert to fraction form
    84,168.80/116,152.89 = 53,954.11/x
  3. Step 3: Cross multiply
    84,168.80x = 116,152.89 × 53,954.11
  4. Step 4: Simplify right side
    84,168.80x = 6,266,925,746.74
  5. Step 5: Solve for x
    x = 6,266,925,746.74/84,168.80
  6. Step 6: Final answer
    x = 74,456.64

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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.