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Finding the Fourth Proportional to 228,069, 314,735.22 and 127,467

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Solution

The fourth proportional to 228,069, 314,735.22 and 127,467 is: 175,904.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,069 : 314,735.22 = 127,467 : x
  2. Step 2: Convert to fraction form
    228,069/314,735.22 = 127,467/x
  3. Step 3: Cross multiply
    228,069x = 314,735.22 × 127,467
  4. Step 4: Simplify right side
    228,069x = 40,118,354,287.74
  5. Step 5: Solve for x
    x = 40,118,354,287.74/228,069
  6. Step 6: Final answer
    x = 175,904.46

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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.