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Finding the Fourth Proportional to 200,490.56, 276,641.80 and 114,410.24

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Solution

The fourth proportional to 200,490.56, 276,641.80 and 114,410.24 is: 157,866.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,490.56 : 276,641.80 = 114,410.24 : x
  2. Step 2: Convert to fraction form
    200,490.56/276,641.80 = 114,410.24/x
  3. Step 3: Cross multiply
    200,490.56x = 276,641.80 × 114,410.24
  4. Step 4: Simplify right side
    200,490.56x = 31,650,654,732.03
  5. Step 5: Solve for x
    x = 31,650,654,732.03/200,490.56
  6. Step 6: Final answer
    x = 157,866.06

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1.5x scale

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.