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Finding the Fourth Proportional to 200,412.77, 276,574.08 and 114,370.03

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Solution

The fourth proportional to 200,412.77, 276,574.08 and 114,370.03 is: 157,833.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,412.77 : 276,574.08 = 114,370.03 : x
  2. Step 2: Convert to fraction form
    200,412.77/276,574.08 = 114,370.03/x
  3. Step 3: Cross multiply
    200,412.77x = 276,574.08 × 114,370.03
  4. Step 4: Simplify right side
    200,412.77x = 31,631,785,826.82
  5. Step 5: Solve for x
    x = 31,631,785,826.82/200,412.77
  6. Step 6: Final answer
    x = 157,833.19

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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.