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Finding the Fourth Proportional to 313,927.80, 470,881.29 and 136,435.02

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Solution

The fourth proportional to 313,927.80, 470,881.29 and 136,435.02 is: 204,648.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,927.80 : 470,881.29 = 136,435.02 : x
  2. Step 2: Convert to fraction form
    313,927.80/470,881.29 = 136,435.02/x
  3. Step 3: Cross multiply
    313,927.80x = 470,881.29 × 136,435.02
  4. Step 4: Simplify right side
    313,927.80x = 64,244,698,218.78
  5. Step 5: Solve for x
    x = 64,244,698,218.78/313,927.80
  6. Step 6: Final answer
    x = 204,648.01

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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.