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Finding the Fourth Proportional to 306,869.53, 460,305.51 and 107,189.14

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Solution

The fourth proportional to 306,869.53, 460,305.51 and 107,189.14 is: 160,784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,869.53 : 460,305.51 = 107,189.14 : x
  2. Step 2: Convert to fraction form
    306,869.53/460,305.51 = 107,189.14/x
  3. Step 3: Cross multiply
    306,869.53x = 460,305.51 × 107,189.14
  4. Step 4: Simplify right side
    306,869.53x = 49,339,751,754.16
  5. Step 5: Solve for x
    x = 49,339,751,754.16/306,869.53
  6. Step 6: Final answer
    x = 160,784.13

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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.