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Finding the Fourth Proportional to 227,698.56, 314,228.16 and 127,094.40

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Solution

The fourth proportional to 227,698.56, 314,228.16 and 127,094.40 is: 175,392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,698.56 : 314,228.16 = 127,094.40 : x
  2. Step 2: Convert to fraction form
    227,698.56/314,228.16 = 127,094.40/x
  3. Step 3: Cross multiply
    227,698.56x = 314,228.16 × 127,094.40
  4. Step 4: Simplify right side
    227,698.56x = 39,936,639,458.30
  5. Step 5: Solve for x
    x = 39,936,639,458.30/227,698.56
  6. Step 6: Final answer
    x = 175,392.59

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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.