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Finding the Fourth Proportional to 189,108, 283,470.57 and 122,590.35

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Solution

The fourth proportional to 189,108, 283,470.57 and 122,590.35 is: 183,761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,108 : 283,470.57 = 122,590.35 : x
  2. Step 2: Convert to fraction form
    189,108/283,470.57 = 122,590.35/x
  3. Step 3: Cross multiply
    189,108x = 283,470.57 × 122,590.35
  4. Step 4: Simplify right side
    189,108x = 34,750,756,391.00
  5. Step 5: Solve for x
    x = 34,750,756,391.00/189,108
  6. Step 6: Final answer
    x = 183,761.43

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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.