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Finding the Fourth Proportional to 226,328.82, 312,203.82 and 141,298.26

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Solution

The fourth proportional to 226,328.82, 312,203.82 and 141,298.26 is: 194,910.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,328.82 : 312,203.82 = 141,298.26 : x
  2. Step 2: Convert to fraction form
    226,328.82/312,203.82 = 141,298.26/x
  3. Step 3: Cross multiply
    226,328.82x = 312,203.82 × 141,298.26
  4. Step 4: Simplify right side
    226,328.82x = 44,113,856,531.35
  5. Step 5: Solve for x
    x = 44,113,856,531.35/226,328.82
  6. Step 6: Final answer
    x = 194,910.47

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1.5x scale

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.