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Finding the Fourth Proportional to 313,612.83, 470,140.38 and 136,022.94

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Solution

The fourth proportional to 313,612.83, 470,140.38 and 136,022.94 is: 203,913.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,612.83 : 470,140.38 = 136,022.94 : x
  2. Step 2: Convert to fraction form
    313,612.83/470,140.38 = 136,022.94/x
  3. Step 3: Cross multiply
    313,612.83x = 470,140.38 × 136,022.94
  4. Step 4: Simplify right side
    313,612.83x = 63,949,876,700.32
  5. Step 5: Solve for x
    x = 63,949,876,700.32/313,612.83
  6. Step 6: Final answer
    x = 203,913.46

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1.5x scale

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.