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Finding the Fourth Proportional to 189,162.93, 283,243.80 and 114,182.85

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Solution

The fourth proportional to 189,162.93, 283,243.80 and 114,182.85 is: 170,972.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,162.93 : 283,243.80 = 114,182.85 : x
  2. Step 2: Convert to fraction form
    189,162.93/283,243.80 = 114,182.85/x
  3. Step 3: Cross multiply
    189,162.93x = 283,243.80 × 114,182.85
  4. Step 4: Simplify right side
    189,162.93x = 32,341,584,328.83
  5. Step 5: Solve for x
    x = 32,341,584,328.83/189,162.93
  6. Step 6: Final answer
    x = 170,972.10

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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.