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Finding the Fourth Proportional to 200,157, 276,225.38 and 110,733

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Solution

The fourth proportional to 200,157, 276,225.38 and 110,733 is: 152,816.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,157 : 276,225.38 = 110,733 : x
  2. Step 2: Convert to fraction form
    200,157/276,225.38 = 110,733/x
  3. Step 3: Cross multiply
    200,157x = 276,225.38 × 110,733
  4. Step 4: Simplify right side
    200,157x = 30,587,265,003.54
  5. Step 5: Solve for x
    x = 30,587,265,003.54/200,157
  6. Step 6: Final answer
    x = 152,816.36

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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.