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Finding the Fourth Proportional to 200,530.64, 276,732.26 and 111,106.64

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Solution

The fourth proportional to 200,530.64, 276,732.26 and 111,106.64 is: 153,327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,530.64 : 276,732.26 = 111,106.64 : x
  2. Step 2: Convert to fraction form
    200,530.64/276,732.26 = 111,106.64/x
  3. Step 3: Cross multiply
    200,530.64x = 276,732.26 × 111,106.64
  4. Step 4: Simplify right side
    200,530.64x = 30,746,791,588.21
  5. Step 5: Solve for x
    x = 30,746,791,588.21/200,530.64
  6. Step 6: Final answer
    x = 153,327.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.