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Finding the Fourth Proportional to 297,194.50, 410,135.64 and 163,058.50

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Solution

The fourth proportional to 297,194.50, 410,135.64 and 163,058.50 is: 225,024.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,194.50 : 410,135.64 = 163,058.50 : x
  2. Step 2: Convert to fraction form
    297,194.50/410,135.64 = 163,058.50/x
  3. Step 3: Cross multiply
    297,194.50x = 410,135.64 × 163,058.50
  4. Step 4: Simplify right side
    297,194.50x = 66,876,102,254.94
  5. Step 5: Solve for x
    x = 66,876,102,254.94/297,194.50
  6. Step 6: Final answer
    x = 225,024.70

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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.