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Finding the Fourth Proportional to 152,465.82, 228,785.94 and 119,092.20

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Solution

The fourth proportional to 152,465.82, 228,785.94 and 119,092.20 is: 178,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,465.82 : 228,785.94 = 119,092.20 : x
  2. Step 2: Convert to fraction form
    152,465.82/228,785.94 = 119,092.20/x
  3. Step 3: Cross multiply
    152,465.82x = 228,785.94 × 119,092.20
  4. Step 4: Simplify right side
    152,465.82x = 27,246,620,923.67
  5. Step 5: Solve for x
    x = 27,246,620,923.67/152,465.82
  6. Step 6: Final answer
    x = 178,706.42

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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.