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Finding the Fourth Proportional to 254,188.32, 350,743.39 and 152,189.34

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Solution

The fourth proportional to 254,188.32, 350,743.39 and 152,189.34 is: 209,999.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,188.32 : 350,743.39 = 152,189.34 : x
  2. Step 2: Convert to fraction form
    254,188.32/350,743.39 = 152,189.34/x
  3. Step 3: Cross multiply
    254,188.32x = 350,743.39 × 152,189.34
  4. Step 4: Simplify right side
    254,188.32x = 53,379,405,033.46
  5. Step 5: Solve for x
    x = 53,379,405,033.46/254,188.32
  6. Step 6: Final answer
    x = 209,999.44

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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.