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Finding the Fourth Proportional to 254,223.86, 350,828.97 and 141,046.34

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Solution

The fourth proportional to 254,223.86, 350,828.97 and 141,046.34 is: 194,643.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,223.86 : 350,828.97 = 141,046.34 : x
  2. Step 2: Convert to fraction form
    254,223.86/350,828.97 = 141,046.34/x
  3. Step 3: Cross multiply
    254,223.86x = 350,828.97 × 141,046.34
  4. Step 4: Simplify right side
    254,223.86x = 49,483,142,184.47
  5. Step 5: Solve for x
    x = 49,483,142,184.47/254,223.86
  6. Step 6: Final answer
    x = 194,643.97

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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.