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Finding the Fourth Proportional to 189,096.82, 283,678.94 and 62,744.65

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Solution

The fourth proportional to 189,096.82, 283,678.94 and 62,744.65 is: 94,128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,096.82 : 283,678.94 = 62,744.65 : x
  2. Step 2: Convert to fraction form
    189,096.82/283,678.94 = 62,744.65/x
  3. Step 3: Cross multiply
    189,096.82x = 283,678.94 × 62,744.65
  4. Step 4: Simplify right side
    189,096.82x = 17,799,335,250.34
  5. Step 5: Solve for x
    x = 17,799,335,250.34/189,096.82
  6. Step 6: Final answer
    x = 94,128.16

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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.