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Finding the Fourth Proportional to 307,207.65, 460,767.74 and 96,818.25

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Solution

The fourth proportional to 307,207.65, 460,767.74 and 96,818.25 is: 145,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,207.65 : 460,767.74 = 96,818.25 : x
  2. Step 2: Convert to fraction form
    307,207.65/460,767.74 = 96,818.25/x
  3. Step 3: Cross multiply
    307,207.65x = 460,767.74 × 96,818.25
  4. Step 4: Simplify right side
    307,207.65x = 44,610,725,759.16
  5. Step 5: Solve for x
    x = 44,610,725,759.16/307,207.65
  6. Step 6: Final answer
    x = 145,213.59

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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.