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Finding the Fourth Proportional to 313,678.79, 470,253.66 and 136,052

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Solution

The fourth proportional to 313,678.79, 470,253.66 and 136,052 is: 203,963.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,678.79 : 470,253.66 = 136,052 : x
  2. Step 2: Convert to fraction form
    313,678.79/470,253.66 = 136,052/x
  3. Step 3: Cross multiply
    313,678.79x = 470,253.66 × 136,052
  4. Step 4: Simplify right side
    313,678.79x = 63,978,950,950.32
  5. Step 5: Solve for x
    x = 63,978,950,950.32/313,678.79
  6. Step 6: Final answer
    x = 203,963.27

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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.