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Finding the Fourth Proportional to 227,295.35, 313,704.54 and 136,742.84

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Solution

The fourth proportional to 227,295.35, 313,704.54 and 136,742.84 is: 188,727.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,295.35 : 313,704.54 = 136,742.84 : x
  2. Step 2: Convert to fraction form
    227,295.35/313,704.54 = 136,742.84/x
  3. Step 3: Cross multiply
    227,295.35x = 313,704.54 × 136,742.84
  4. Step 4: Simplify right side
    227,295.35x = 42,896,849,720.49
  5. Step 5: Solve for x
    x = 42,896,849,720.49/227,295.35
  6. Step 6: Final answer
    x = 188,727.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.