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Finding the Fourth Proportional to 180,290.22, 248,770.78 and 99,702

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Solution

The fourth proportional to 180,290.22, 248,770.78 and 99,702 is: 137,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,290.22 : 248,770.78 = 99,702 : x
  2. Step 2: Convert to fraction form
    180,290.22/248,770.78 = 99,702/x
  3. Step 3: Cross multiply
    180,290.22x = 248,770.78 × 99,702
  4. Step 4: Simplify right side
    180,290.22x = 24,802,944,058.31
  5. Step 5: Solve for x
    x = 24,802,944,058.31/180,290.22
  6. Step 6: Final answer
    x = 137,572.32

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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.