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Finding the Fourth Proportional to 227,909.53, 314,716.89 and 142,015.11

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Solution

The fourth proportional to 227,909.53, 314,716.89 and 142,015.11 is: 196,106.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,909.53 : 314,716.89 = 142,015.11 : x
  2. Step 2: Convert to fraction form
    227,909.53/314,716.89 = 142,015.11/x
  3. Step 3: Cross multiply
    227,909.53x = 314,716.89 × 142,015.11
  4. Step 4: Simplify right side
    227,909.53x = 44,694,553,752.21
  5. Step 5: Solve for x
    x = 44,694,553,752.21/227,909.53
  6. Step 6: Final answer
    x = 196,106.56

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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.