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Finding the Fourth Proportional to 254,180.16, 350,768.76 and 141,003

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Solution

The fourth proportional to 254,180.16, 350,768.76 and 141,003 is: 194,584.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,180.16 : 350,768.76 = 141,003 : x
  2. Step 2: Convert to fraction form
    254,180.16/350,768.76 = 141,003/x
  3. Step 3: Cross multiply
    254,180.16x = 350,768.76 × 141,003
  4. Step 4: Simplify right side
    254,180.16x = 49,459,447,466.28
  5. Step 5: Solve for x
    x = 49,459,447,466.28/254,180.16
  6. Step 6: Final answer
    x = 194,584.22

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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.