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Finding the Fourth Proportional to 313,691.24, 470,272.29 and 136,064.51

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Solution

The fourth proportional to 313,691.24, 470,272.29 and 136,064.51 is: 203,982.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,691.24 : 470,272.29 = 136,064.51 : x
  2. Step 2: Convert to fraction form
    313,691.24/470,272.29 = 136,064.51/x
  3. Step 3: Cross multiply
    313,691.24x = 470,272.29 × 136,064.51
  4. Step 4: Simplify right side
    313,691.24x = 63,987,366,354.07
  5. Step 5: Solve for x
    x = 63,987,366,354.07/313,691.24
  6. Step 6: Final answer
    x = 203,982.00

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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.