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Finding the Fourth Proportional to 309,120.84, 463,712.67 and 106,690.59

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Solution

The fourth proportional to 309,120.84, 463,712.67 and 106,690.59 is: 160,046.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,120.84 : 463,712.67 = 106,690.59 : x
  2. Step 2: Convert to fraction form
    309,120.84/463,712.67 = 106,690.59/x
  3. Step 3: Cross multiply
    309,120.84x = 463,712.67 × 106,690.59
  4. Step 4: Simplify right side
    309,120.84x = 49,473,778,352.78
  5. Step 5: Solve for x
    x = 49,473,778,352.78/309,120.84
  6. Step 6: Final answer
    x = 160,046.73

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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.