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Finding the Fourth Proportional to 200,294.76, 276,407.36 and 109,651.50

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Solution

The fourth proportional to 200,294.76, 276,407.36 and 109,651.50 is: 151,319.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,294.76 : 276,407.36 = 109,651.50 : x
  2. Step 2: Convert to fraction form
    200,294.76/276,407.36 = 109,651.50/x
  3. Step 3: Cross multiply
    200,294.76x = 276,407.36 × 109,651.50
  4. Step 4: Simplify right side
    200,294.76x = 30,308,481,635.04
  5. Step 5: Solve for x
    x = 30,308,481,635.04/200,294.76
  6. Step 6: Final answer
    x = 151,319.39

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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.