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Finding the Fourth Proportional to 200,697.07, 301,007.24 and 100,829.59

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Solution

The fourth proportional to 200,697.07, 301,007.24 and 100,829.59 is: 151,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,697.07 : 301,007.24 = 100,829.59 : x
  2. Step 2: Convert to fraction form
    200,697.07/301,007.24 = 100,829.59/x
  3. Step 3: Cross multiply
    200,697.07x = 301,007.24 × 100,829.59
  4. Step 4: Simplify right side
    200,697.07x = 30,350,436,092.08
  5. Step 5: Solve for x
    x = 30,350,436,092.08/200,697.07
  6. Step 6: Final answer
    x = 151,225.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.