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Finding the Fourth Proportional to 189,608.58, 284,429.88 and 49,368.42

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Solution

The fourth proportional to 189,608.58, 284,429.88 and 49,368.42 is: 74,057.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,608.58 : 284,429.88 = 49,368.42 : x
  2. Step 2: Convert to fraction form
    189,608.58/284,429.88 = 49,368.42/x
  3. Step 3: Cross multiply
    189,608.58x = 284,429.88 × 49,368.42
  4. Step 4: Simplify right side
    189,608.58x = 14,041,853,776.39
  5. Step 5: Solve for x
    x = 14,041,853,776.39/189,608.58
  6. Step 6: Final answer
    x = 74,057.06

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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.