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Finding the Fourth Proportional to 309,537.59, 464,338.21 and 107,133.30

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Solution

The fourth proportional to 309,537.59, 464,338.21 and 107,133.30 is: 160,710.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,537.59 : 464,338.21 = 107,133.30 : x
  2. Step 2: Convert to fraction form
    309,537.59/464,338.21 = 107,133.30/x
  3. Step 3: Cross multiply
    309,537.59x = 464,338.21 × 107,133.30
  4. Step 4: Simplify right side
    309,537.59x = 49,746,085,121.75
  5. Step 5: Solve for x
    x = 49,746,085,121.75/309,537.59
  6. Step 6: Final answer
    x = 160,710.96

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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.