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Finding the Fourth Proportional to 114,129.62, 157,498.77 and 63,828.50

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Solution

The fourth proportional to 114,129.62, 157,498.77 and 63,828.50 is: 88,083.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,129.62 : 157,498.77 = 63,828.50 : x
  2. Step 2: Convert to fraction form
    114,129.62/157,498.77 = 63,828.50/x
  3. Step 3: Cross multiply
    114,129.62x = 157,498.77 × 63,828.50
  4. Step 4: Simplify right side
    114,129.62x = 10,052,910,240.95
  5. Step 5: Solve for x
    x = 10,052,910,240.95/114,129.62
  6. Step 6: Final answer
    x = 88,083.27

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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.