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Finding the Fourth Proportional to 242,964.84, 364,450.50 and 85,197.90

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Solution

The fourth proportional to 242,964.84, 364,450.50 and 85,197.90 is: 127,797.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,964.84 : 364,450.50 = 85,197.90 : x
  2. Step 2: Convert to fraction form
    242,964.84/364,450.50 = 85,197.90/x
  3. Step 3: Cross multiply
    242,964.84x = 364,450.50 × 85,197.90
  4. Step 4: Simplify right side
    242,964.84x = 31,050,417,253.95
  5. Step 5: Solve for x
    x = 31,050,417,253.95/242,964.84
  6. Step 6: Final answer
    x = 127,797.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.