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Finding the Fourth Proportional to 351,341.42, 527,026.62 and 102,023.42

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Solution

The fourth proportional to 351,341.42, 527,026.62 and 102,023.42 is: 153,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,341.42 : 527,026.62 = 102,023.42 : x
  2. Step 2: Convert to fraction form
    351,341.42/527,026.62 = 102,023.42/x
  3. Step 3: Cross multiply
    351,341.42x = 527,026.62 × 102,023.42
  4. Step 4: Simplify right side
    351,341.42x = 53,769,058,203.44
  5. Step 5: Solve for x
    x = 53,769,058,203.44/351,341.42
  6. Step 6: Final answer
    x = 153,039.34

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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.