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Finding the Fourth Proportional to 189,239.56, 283,904.93 and 70,911.92

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Solution

The fourth proportional to 189,239.56, 283,904.93 and 70,911.92 is: 106,384.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,239.56 : 283,904.93 = 70,911.92 : x
  2. Step 2: Convert to fraction form
    189,239.56/283,904.93 = 70,911.92/x
  3. Step 3: Cross multiply
    189,239.56x = 283,904.93 × 70,911.92
  4. Step 4: Simplify right side
    189,239.56x = 20,132,244,570.81
  5. Step 5: Solve for x
    x = 20,132,244,570.81/189,239.56
  6. Step 6: Final answer
    x = 106,384.97

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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.