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Finding the Fourth Proportional to 227,568.48, 314,025.84 and 126,964.32

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Solution

The fourth proportional to 227,568.48, 314,025.84 and 126,964.32 is: 175,200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,568.48 : 314,025.84 = 126,964.32 : x
  2. Step 2: Convert to fraction form
    227,568.48/314,025.84 = 126,964.32/x
  3. Step 3: Cross multiply
    227,568.48x = 314,025.84 × 126,964.32
  4. Step 4: Simplify right side
    227,568.48x = 39,870,077,238.03
  5. Step 5: Solve for x
    x = 39,870,077,238.03/227,568.48
  6. Step 6: Final answer
    x = 175,200.35

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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.