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Finding the Fourth Proportional to 203,792, 281,258.88 and 114,368

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Solution

The fourth proportional to 203,792, 281,258.88 and 114,368 is: 157,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,792 : 281,258.88 = 114,368 : x
  2. Step 2: Convert to fraction form
    203,792/281,258.88 = 114,368/x
  3. Step 3: Cross multiply
    203,792x = 281,258.88 × 114,368
  4. Step 4: Simplify right side
    203,792x = 32,167,015,587.84
  5. Step 5: Solve for x
    x = 32,167,015,587.84/203,792
  6. Step 6: Final answer
    x = 157,842.39

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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.