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Finding the Fourth Proportional to 189,228.48, 283,849.42 and 47,074.50

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Solution

The fourth proportional to 189,228.48, 283,849.42 and 47,074.50 is: 70,613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,228.48 : 283,849.42 = 47,074.50 : x
  2. Step 2: Convert to fraction form
    189,228.48/283,849.42 = 47,074.50/x
  3. Step 3: Cross multiply
    189,228.48x = 283,849.42 × 47,074.50
  4. Step 4: Simplify right side
    189,228.48x = 13,362,069,521.79
  5. Step 5: Solve for x
    x = 13,362,069,521.79/189,228.48
  6. Step 6: Final answer
    x = 70,613.42

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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.