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Finding the Fourth Proportional to 84,101.36, 114,505.16 and 83,838.92

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Solution

The fourth proportional to 84,101.36, 114,505.16 and 83,838.92 is: 114,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,101.36 : 114,505.16 = 83,838.92 : x
  2. Step 2: Convert to fraction form
    84,101.36/114,505.16 = 83,838.92/x
  3. Step 3: Cross multiply
    84,101.36x = 114,505.16 × 83,838.92
  4. Step 4: Simplify right side
    84,101.36x = 9,599,988,948.83
  5. Step 5: Solve for x
    x = 9,599,988,948.83/84,101.36
  6. Step 6: Final answer
    x = 114,147.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.