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Finding the Fourth Proportional to 117,788.76, 162,601.56 and 77,523.66

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Solution

The fourth proportional to 117,788.76, 162,601.56 and 77,523.66 is: 107,017.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,788.76 : 162,601.56 = 77,523.66 : x
  2. Step 2: Convert to fraction form
    117,788.76/162,601.56 = 77,523.66/x
  3. Step 3: Cross multiply
    117,788.76x = 162,601.56 × 77,523.66
  4. Step 4: Simplify right side
    117,788.76x = 12,605,468,052.91
  5. Step 5: Solve for x
    x = 12,605,468,052.91/117,788.76
  6. Step 6: Final answer
    x = 107,017.58

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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.