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Finding the Fourth Proportional to 227,046.27, 313,307.68 and 135,160.68

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Solution

The fourth proportional to 227,046.27, 313,307.68 and 135,160.68 is: 186,512.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,046.27 : 313,307.68 = 135,160.68 : x
  2. Step 2: Convert to fraction form
    227,046.27/313,307.68 = 135,160.68/x
  3. Step 3: Cross multiply
    227,046.27x = 313,307.68 × 135,160.68
  4. Step 4: Simplify right side
    227,046.27x = 42,346,880,168.45
  5. Step 5: Solve for x
    x = 42,346,880,168.45/227,046.27
  6. Step 6: Final answer
    x = 186,512.11

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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.