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Finding the Fourth Proportional to 313,805.95, 470,444.36 and 136,179.12

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Solution

The fourth proportional to 313,805.95, 470,444.36 and 136,179.12 is: 204,153.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,805.95 : 470,444.36 = 136,179.12 : x
  2. Step 2: Convert to fraction form
    313,805.95/470,444.36 = 136,179.12/x
  3. Step 3: Cross multiply
    313,805.95x = 470,444.36 × 136,179.12
  4. Step 4: Simplify right side
    313,805.95x = 64,064,700,037.03
  5. Step 5: Solve for x
    x = 64,064,700,037.03/313,805.95
  6. Step 6: Final answer
    x = 204,153.87

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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.