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Finding the Fourth Proportional to 200,294.00, 276,405.70 and 109,649.69

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Solution

The fourth proportional to 200,294.00, 276,405.70 and 109,649.69 is: 151,316.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,294.00 : 276,405.70 = 109,649.69 : x
  2. Step 2: Convert to fraction form
    200,294.00/276,405.70 = 109,649.69/x
  3. Step 3: Cross multiply
    200,294.00x = 276,405.70 × 109,649.69
  4. Step 4: Simplify right side
    200,294.00x = 30,307,798,979.08
  5. Step 5: Solve for x
    x = 30,307,798,979.08/200,294.00
  6. Step 6: Final answer
    x = 151,316.56

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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.