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Finding the Fourth Proportional to 200,638.48, 276,904.12 and 114,611

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Solution

The fourth proportional to 200,638.48, 276,904.12 and 114,611 is: 158,176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,638.48 : 276,904.12 = 114,611 : x
  2. Step 2: Convert to fraction form
    200,638.48/276,904.12 = 114,611/x
  3. Step 3: Cross multiply
    200,638.48x = 276,904.12 × 114,611
  4. Step 4: Simplify right side
    200,638.48x = 31,736,258,097.32
  5. Step 5: Solve for x
    x = 31,736,258,097.32/200,638.48
  6. Step 6: Final answer
    x = 158,176.33

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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.