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Finding the Fourth Proportional to 200,657, 276,929.70 and 114,629.60

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Solution

The fourth proportional to 200,657, 276,929.70 and 114,629.60 is: 158,202.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,657 : 276,929.70 = 114,629.60 : x
  2. Step 2: Convert to fraction form
    200,657/276,929.70 = 114,629.60/x
  3. Step 3: Cross multiply
    200,657x = 276,929.70 × 114,629.60
  4. Step 4: Simplify right side
    200,657x = 31,744,340,739.12
  5. Step 5: Solve for x
    x = 31,744,340,739.12/200,657
  6. Step 6: Final answer
    x = 158,202.01

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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.