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Finding the Fourth Proportional to 180,058.22, 270,100.47 and 61,728.56

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Solution

The fourth proportional to 180,058.22, 270,100.47 and 61,728.56 is: 92,597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,058.22 : 270,100.47 = 61,728.56 : x
  2. Step 2: Convert to fraction form
    180,058.22/270,100.47 = 61,728.56/x
  3. Step 3: Cross multiply
    180,058.22x = 270,100.47 × 61,728.56
  4. Step 4: Simplify right side
    180,058.22x = 16,672,913,068.42
  5. Step 5: Solve for x
    x = 16,672,913,068.42/180,058.22
  6. Step 6: Final answer
    x = 92,597.34

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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.