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Finding the Fourth Proportional to 227,946.76, 314,566.34 and 127,344.76

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Solution

The fourth proportional to 227,946.76, 314,566.34 and 127,344.76 is: 175,735.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,946.76 : 314,566.34 = 127,344.76 : x
  2. Step 2: Convert to fraction form
    227,946.76/314,566.34 = 127,344.76/x
  3. Step 3: Cross multiply
    227,946.76x = 314,566.34 × 127,344.76
  4. Step 4: Simplify right side
    227,946.76x = 40,058,373,648.24
  5. Step 5: Solve for x
    x = 40,058,373,648.24/227,946.76
  6. Step 6: Final answer
    x = 175,735.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.