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Finding the Fourth Proportional to 84,797.86, 116,954.28 and 75,117.67

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Solution

The fourth proportional to 84,797.86, 116,954.28 and 75,117.67 is: 103,603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,797.86 : 116,954.28 = 75,117.67 : x
  2. Step 2: Convert to fraction form
    84,797.86/116,954.28 = 75,117.67/x
  3. Step 3: Cross multiply
    84,797.86x = 116,954.28 × 75,117.67
  4. Step 4: Simplify right side
    84,797.86x = 8,785,333,010.13
  5. Step 5: Solve for x
    x = 8,785,333,010.13/84,797.86
  6. Step 6: Final answer
    x = 103,603.24

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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.