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Finding the Fourth Proportional to 309,759.68, 464,639.54 and 110,087.94

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Solution

The fourth proportional to 309,759.68, 464,639.54 and 110,087.94 is: 165,131.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,759.68 : 464,639.54 = 110,087.94 : x
  2. Step 2: Convert to fraction form
    309,759.68/464,639.54 = 110,087.94/x
  3. Step 3: Cross multiply
    309,759.68x = 464,639.54 × 110,087.94
  4. Step 4: Simplify right side
    309,759.68x = 51,151,211,612.35
  5. Step 5: Solve for x
    x = 51,151,211,612.35/309,759.68
  6. Step 6: Final answer
    x = 165,131.92

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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.