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Finding the Fourth Proportional to 306,726.75, 460,090.13 and 140,514.75

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Solution

The fourth proportional to 306,726.75, 460,090.13 and 140,514.75 is: 210,772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,726.75 : 460,090.13 = 140,514.75 : x
  2. Step 2: Convert to fraction form
    306,726.75/460,090.13 = 140,514.75/x
  3. Step 3: Cross multiply
    306,726.75x = 460,090.13 × 140,514.75
  4. Step 4: Simplify right side
    306,726.75x = 64,649,448,891.84
  5. Step 5: Solve for x
    x = 64,649,448,891.84/306,726.75
  6. Step 6: Final answer
    x = 210,772.13

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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.