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Finding the Fourth Proportional to 189,858.10, 284,787.15 and 101,065.90

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Solution

The fourth proportional to 189,858.10, 284,787.15 and 101,065.90 is: 151,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,858.10 : 284,787.15 = 101,065.90 : x
  2. Step 2: Convert to fraction form
    189,858.10/284,787.15 = 101,065.90/x
  3. Step 3: Cross multiply
    189,858.10x = 284,787.15 × 101,065.90
  4. Step 4: Simplify right side
    189,858.10x = 28,782,269,623.19
  5. Step 5: Solve for x
    x = 28,782,269,623.19/189,858.10
  6. Step 6: Final answer
    x = 151,598.85

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Why These Related Problems?

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