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Finding the Fourth Proportional to 189,079.36, 283,668.24 and 70,759.84

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Solution

The fourth proportional to 189,079.36, 283,668.24 and 70,759.84 is: 106,158.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,079.36 : 283,668.24 = 70,759.84 : x
  2. Step 2: Convert to fraction form
    189,079.36/283,668.24 = 70,759.84/x
  3. Step 3: Cross multiply
    189,079.36x = 283,668.24 × 70,759.84
  4. Step 4: Simplify right side
    189,079.36x = 20,072,319,275.48
  5. Step 5: Solve for x
    x = 20,072,319,275.48/189,079.36
  6. Step 6: Final answer
    x = 106,158.17

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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.