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Finding the Fourth Proportional to 189,004.54, 283,565.14 and 70,687.84

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Solution

The fourth proportional to 189,004.54, 283,565.14 and 70,687.84 is: 106,053.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,004.54 : 283,565.14 = 70,687.84 : x
  2. Step 2: Convert to fraction form
    189,004.54/283,565.14 = 70,687.84/x
  3. Step 3: Cross multiply
    189,004.54x = 283,565.14 × 70,687.84
  4. Step 4: Simplify right side
    189,004.54x = 20,044,607,245.90
  5. Step 5: Solve for x
    x = 20,044,607,245.90/189,004.54
  6. Step 6: Final answer
    x = 106,053.58

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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.