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Finding the Fourth Proportional to 230,033.35, 345,197.54 and 111,640.15

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Solution

The fourth proportional to 230,033.35, 345,197.54 and 111,640.15 is: 167,531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,033.35 : 345,197.54 = 111,640.15 : x
  2. Step 2: Convert to fraction form
    230,033.35/345,197.54 = 111,640.15/x
  3. Step 3: Cross multiply
    230,033.35x = 345,197.54 × 111,640.15
  4. Step 4: Simplify right side
    230,033.35x = 38,537,905,145.23
  5. Step 5: Solve for x
    x = 38,537,905,145.23/230,033.35
  6. Step 6: Final answer
    x = 167,531.82

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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.