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Finding the Fourth Proportional to 334,111.36, 501,144.36 and 156,658

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Solution

The fourth proportional to 334,111.36, 501,144.36 and 156,658 is: 234,976.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,111.36 : 501,144.36 = 156,658 : x
  2. Step 2: Convert to fraction form
    334,111.36/501,144.36 = 156,658/x
  3. Step 3: Cross multiply
    334,111.36x = 501,144.36 × 156,658
  4. Step 4: Simplify right side
    334,111.36x = 78,508,273,148.88
  5. Step 5: Solve for x
    x = 78,508,273,148.88/334,111.36
  6. Step 6: Final answer
    x = 234,976.37

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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.