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Finding the Fourth Proportional to 306,756.11, 460,244.88 and 107,105.91

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Solution

The fourth proportional to 306,756.11, 460,244.88 and 107,105.91 is: 160,697.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,756.11 : 460,244.88 = 107,105.91 : x
  2. Step 2: Convert to fraction form
    306,756.11/460,244.88 = 107,105.91/x
  3. Step 3: Cross multiply
    306,756.11x = 460,244.88 × 107,105.91
  4. Step 4: Simplify right side
    306,756.11x = 49,294,943,858.49
  5. Step 5: Solve for x
    x = 49,294,943,858.49/306,756.11
  6. Step 6: Final answer
    x = 160,697.52

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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.