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Finding the Fourth Proportional to 200,410.04, 276,556 and 109,766.40

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Solution

The fourth proportional to 200,410.04, 276,556 and 109,766.40 is: 151,472.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,410.04 : 276,556 = 109,766.40 : x
  2. Step 2: Convert to fraction form
    200,410.04/276,556 = 109,766.40/x
  3. Step 3: Cross multiply
    200,410.04x = 276,556 × 109,766.40
  4. Step 4: Simplify right side
    200,410.04x = 30,356,556,518.40
  5. Step 5: Solve for x
    x = 30,356,556,518.40/200,410.04
  6. Step 6: Final answer
    x = 151,472.23

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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.