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Finding the Fourth Proportional to 117,788.26, 162,600.87 and 77,523.16

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Solution

The fourth proportional to 117,788.26, 162,600.87 and 77,523.16 is: 107,016.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,788.26 : 162,600.87 = 77,523.16 : x
  2. Step 2: Convert to fraction form
    117,788.26/162,600.87 = 77,523.16/x
  3. Step 3: Cross multiply
    117,788.26x = 162,600.87 × 77,523.16
  4. Step 4: Simplify right side
    117,788.26x = 12,605,333,261.15
  5. Step 5: Solve for x
    x = 12,605,333,261.15/117,788.26
  6. Step 6: Final answer
    x = 107,016.89

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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.