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Finding the Fourth Proportional to 189,186.84, 283,832.10 and 99,235.53

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Solution

The fourth proportional to 189,186.84, 283,832.10 and 99,235.53 is: 148,880.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,186.84 : 283,832.10 = 99,235.53 : x
  2. Step 2: Convert to fraction form
    189,186.84/283,832.10 = 99,235.53/x
  3. Step 3: Cross multiply
    189,186.84x = 283,832.10 × 99,235.53
  4. Step 4: Simplify right side
    189,186.84x = 28,166,228,874.51
  5. Step 5: Solve for x
    x = 28,166,228,874.51/189,186.84
  6. Step 6: Final answer
    x = 148,880.49

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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.