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Finding the Fourth Proportional to 189,195.16, 283,821.90 and 64,507

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Solution

The fourth proportional to 189,195.16, 283,821.90 and 64,507 is: 96,770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,195.16 : 283,821.90 = 64,507 : x
  2. Step 2: Convert to fraction form
    189,195.16/283,821.90 = 64,507/x
  3. Step 3: Cross multiply
    189,195.16x = 283,821.90 × 64,507
  4. Step 4: Simplify right side
    189,195.16x = 18,308,499,303.30
  5. Step 5: Solve for x
    x = 18,308,499,303.30/189,195.16
  6. Step 6: Final answer
    x = 96,770.44

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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.