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Finding the Fourth Proportional to 313,670.78, 470,241.65 and 136,044.01

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Solution

The fourth proportional to 313,670.78, 470,241.65 and 136,044.01 is: 203,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,670.78 : 470,241.65 = 136,044.01 : x
  2. Step 2: Convert to fraction form
    313,670.78/470,241.65 = 136,044.01/x
  3. Step 3: Cross multiply
    313,670.78x = 470,241.65 × 136,044.01
  4. Step 4: Simplify right side
    313,670.78x = 63,973,558,017.82
  5. Step 5: Solve for x
    x = 63,973,558,017.82/313,670.78
  6. Step 6: Final answer
    x = 203,951.28

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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.