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Finding the Fourth Proportional to 189,642.08, 284,244.12 and 71,237.84

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Solution

The fourth proportional to 189,642.08, 284,244.12 and 71,237.84 is: 106,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,642.08 : 284,244.12 = 71,237.84 : x
  2. Step 2: Convert to fraction form
    189,642.08/284,244.12 = 71,237.84/x
  3. Step 3: Cross multiply
    189,642.08x = 284,244.12 × 71,237.84
  4. Step 4: Simplify right side
    189,642.08x = 20,248,937,141.50
  5. Step 5: Solve for x
    x = 20,248,937,141.50/189,642.08
  6. Step 6: Final answer
    x = 106,774.49

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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.