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Finding the Fourth Proportional to 227,648.16, 314,141.76 and 127,052.64

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Solution

The fourth proportional to 227,648.16, 314,141.76 and 127,052.64 is: 175,325.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,648.16 : 314,141.76 = 127,052.64 : x
  2. Step 2: Convert to fraction form
    227,648.16/314,141.76 = 127,052.64/x
  3. Step 3: Cross multiply
    227,648.16x = 314,141.76 × 127,052.64
  4. Step 4: Simplify right side
    227,648.16x = 39,912,539,942.25
  5. Step 5: Solve for x
    x = 39,912,539,942.25/227,648.16
  6. Step 6: Final answer
    x = 175,325.55

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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.