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Finding the Fourth Proportional to 229,050.40, 343,834.80 and 135,608.80

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Solution

The fourth proportional to 229,050.40, 343,834.80 and 135,608.80 is: 203,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,050.40 : 343,834.80 = 135,608.80 : x
  2. Step 2: Convert to fraction form
    229,050.40/343,834.80 = 135,608.80/x
  3. Step 3: Cross multiply
    229,050.40x = 343,834.80 × 135,608.80
  4. Step 4: Simplify right side
    229,050.40x = 46,627,024,626.24
  5. Step 5: Solve for x
    x = 46,627,024,626.24/229,050.40
  6. Step 6: Final answer
    x = 203,566.66

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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.