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Finding the Fourth Proportional to 200,296.51, 276,409.15 and 109,652.19

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Solution

The fourth proportional to 200,296.51, 276,409.15 and 109,652.19 is: 151,320.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,296.51 : 276,409.15 = 109,652.19 : x
  2. Step 2: Convert to fraction form
    200,296.51/276,409.15 = 109,652.19/x
  3. Step 3: Cross multiply
    200,296.51x = 276,409.15 × 109,652.19
  4. Step 4: Simplify right side
    200,296.51x = 30,308,868,633.54
  5. Step 5: Solve for x
    x = 30,308,868,633.54/200,296.51
  6. Step 6: Final answer
    x = 151,320.00

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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.