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Finding the Fourth Proportional to 227,885.76, 314,477.10 and 125,905.95

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Solution

The fourth proportional to 227,885.76, 314,477.10 and 125,905.95 is: 173,747.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,885.76 : 314,477.10 = 125,905.95 : x
  2. Step 2: Convert to fraction form
    227,885.76/314,477.10 = 125,905.95/x
  3. Step 3: Cross multiply
    227,885.76x = 314,477.10 × 125,905.95
  4. Step 4: Simplify right side
    227,885.76x = 39,594,538,028.75
  5. Step 5: Solve for x
    x = 39,594,538,028.75/227,885.76
  6. Step 6: Final answer
    x = 173,747.31

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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.