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Finding the Fourth Proportional to 200,703.08, 301,016.24 and 100,835.60

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Solution

The fourth proportional to 200,703.08, 301,016.24 and 100,835.60 is: 151,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,703.08 : 301,016.24 = 100,835.60 : x
  2. Step 2: Convert to fraction form
    200,703.08/301,016.24 = 100,835.60/x
  3. Step 3: Cross multiply
    200,703.08x = 301,016.24 × 100,835.60
  4. Step 4: Simplify right side
    200,703.08x = 30,353,153,170.14
  5. Step 5: Solve for x
    x = 30,353,153,170.14/200,703.08
  6. Step 6: Final answer
    x = 151,234.12

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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.