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Finding the Fourth Proportional to 189,854.02, 285,223.92 and 111,023.74

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Solution

The fourth proportional to 189,854.02, 285,223.92 and 111,023.74 is: 166,794.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,854.02 : 285,223.92 = 111,023.74 : x
  2. Step 2: Convert to fraction form
    189,854.02/285,223.92 = 111,023.74/x
  3. Step 3: Cross multiply
    189,854.02x = 285,223.92 × 111,023.74
  4. Step 4: Simplify right side
    189,854.02x = 31,666,626,335.86
  5. Step 5: Solve for x
    x = 31,666,626,335.86/189,854.02
  6. Step 6: Final answer
    x = 166,794.61

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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.