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Finding the Fourth Proportional to 189,096.82, 283,678.96 and 62,744.64

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Solution

The fourth proportional to 189,096.82, 283,678.96 and 62,744.64 is: 94,128.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,096.82 : 283,678.96 = 62,744.64 : x
  2. Step 2: Convert to fraction form
    189,096.82/283,678.96 = 62,744.64/x
  3. Step 3: Cross multiply
    189,096.82x = 283,678.96 × 62,744.64
  4. Step 4: Simplify right side
    189,096.82x = 17,799,334,220.77
  5. Step 5: Solve for x
    x = 17,799,334,220.77/189,096.82
  6. Step 6: Final answer
    x = 94,128.15

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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.