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Finding the Fourth Proportional to 265,981.64, 367,102.14 and 158,558.54

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Solution

The fourth proportional to 265,981.64, 367,102.14 and 158,558.54 is: 218,839.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,981.64 : 367,102.14 = 158,558.54 : x
  2. Step 2: Convert to fraction form
    265,981.64/367,102.14 = 158,558.54/x
  3. Step 3: Cross multiply
    265,981.64x = 367,102.14 × 158,558.54
  4. Step 4: Simplify right side
    265,981.64x = 58,207,179,349.28
  5. Step 5: Solve for x
    x = 58,207,179,349.28/265,981.64
  6. Step 6: Final answer
    x = 218,839.09

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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.