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Finding the Fourth Proportional to 192,148.96, 288,231.72 and 59,034.40

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Solution

The fourth proportional to 192,148.96, 288,231.72 and 59,034.40 is: 88,554.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,148.96 : 288,231.72 = 59,034.40 : x
  2. Step 2: Convert to fraction form
    192,148.96/288,231.72 = 59,034.40/x
  3. Step 3: Cross multiply
    192,148.96x = 288,231.72 × 59,034.40
  4. Step 4: Simplify right side
    192,148.96x = 17,015,586,651.17
  5. Step 5: Solve for x
    x = 17,015,586,651.17/192,148.96
  6. Step 6: Final answer
    x = 88,554.14

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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.