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Finding the Fourth Proportional to 200,842.69, 301,064.47 and 100,697.23

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Solution

The fourth proportional to 200,842.69, 301,064.47 and 100,697.23 is: 150,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,842.69 : 301,064.47 = 100,697.23 : x
  2. Step 2: Convert to fraction form
    200,842.69/301,064.47 = 100,697.23/x
  3. Step 3: Cross multiply
    200,842.69x = 301,064.47 × 100,697.23
  4. Step 4: Simplify right side
    200,842.69x = 30,316,356,894.73
  5. Step 5: Solve for x
    x = 30,316,356,894.73/200,842.69
  6. Step 6: Final answer
    x = 150,945.78

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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.