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Finding the Fourth Proportional to 200,735.13, 277,014.48 and 111,311.13

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Solution

The fourth proportional to 200,735.13, 277,014.48 and 111,311.13 is: 153,609.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,735.13 : 277,014.48 = 111,311.13 : x
  2. Step 2: Convert to fraction form
    200,735.13/277,014.48 = 111,311.13/x
  3. Step 3: Cross multiply
    200,735.13x = 277,014.48 × 111,311.13
  4. Step 4: Simplify right side
    200,735.13x = 30,834,794,795.16
  5. Step 5: Solve for x
    x = 30,834,794,795.16/200,735.13
  6. Step 6: Final answer
    x = 153,609.36

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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.