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Finding the Fourth Proportional to 227,755.40, 314,304.10 and 125,778.02

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Solution

The fourth proportional to 227,755.40, 314,304.10 and 125,778.02 is: 173,574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,755.40 : 314,304.10 = 125,778.02 : x
  2. Step 2: Convert to fraction form
    227,755.40/314,304.10 = 125,778.02/x
  3. Step 3: Cross multiply
    227,755.40x = 314,304.10 × 125,778.02
  4. Step 4: Simplify right side
    227,755.40x = 39,532,545,489.92
  5. Step 5: Solve for x
    x = 39,532,545,489.92/227,755.40
  6. Step 6: Final answer
    x = 173,574.57

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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.