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Finding the Fourth Proportional to 192,298.64, 288,475.30 and 59,190

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Solution

The fourth proportional to 192,298.64, 288,475.30 and 59,190 is: 88,793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,298.64 : 288,475.30 = 59,190 : x
  2. Step 2: Convert to fraction form
    192,298.64/288,475.30 = 59,190/x
  3. Step 3: Cross multiply
    192,298.64x = 288,475.30 × 59,190
  4. Step 4: Simplify right side
    192,298.64x = 17,074,853,007
  5. Step 5: Solve for x
    x = 17,074,853,007/192,298.64
  6. Step 6: Final answer
    x = 88,793.42

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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.