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Finding the Fourth Proportional to 306,757.16, 460,246.47 and 107,106.96

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Solution

The fourth proportional to 306,757.16, 460,246.47 and 107,106.96 is: 160,699.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,757.16 : 460,246.47 = 107,106.96 : x
  2. Step 2: Convert to fraction form
    306,757.16/460,246.47 = 107,106.96/x
  3. Step 3: Cross multiply
    306,757.16x = 460,246.47 × 107,106.96
  4. Step 4: Simplify right side
    306,757.16x = 49,295,600,252.43
  5. Step 5: Solve for x
    x = 49,295,600,252.43/306,757.16
  6. Step 6: Final answer
    x = 160,699.10

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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.