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Finding the Fourth Proportional to 97,797.24, 134,950.86 and 77,702.76

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Solution

The fourth proportional to 97,797.24, 134,950.86 and 77,702.76 is: 107,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,797.24 : 134,950.86 = 77,702.76 : x
  2. Step 2: Convert to fraction form
    97,797.24/134,950.86 = 77,702.76/x
  3. Step 3: Cross multiply
    97,797.24x = 134,950.86 × 77,702.76
  4. Step 4: Simplify right side
    97,797.24x = 10,486,054,286.37
  5. Step 5: Solve for x
    x = 10,486,054,286.37/97,797.24
  6. Step 6: Final answer
    x = 107,222.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.