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Finding the Fourth Proportional to 228,202.44, 314,881.20 and 132,713.16

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Solution

The fourth proportional to 228,202.44, 314,881.20 and 132,713.16 is: 183,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,202.44 : 314,881.20 = 132,713.16 : x
  2. Step 2: Convert to fraction form
    228,202.44/314,881.20 = 132,713.16/x
  3. Step 3: Cross multiply
    228,202.44x = 314,881.20 × 132,713.16
  4. Step 4: Simplify right side
    228,202.44x = 41,788,879,076.59
  5. Step 5: Solve for x
    x = 41,788,879,076.59/228,202.44
  6. Step 6: Final answer
    x = 183,121.96

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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.