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Finding the Fourth Proportional to 180,022.34, 248,430.05 and 99,449.86

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Solution

The fourth proportional to 180,022.34, 248,430.05 and 99,449.86 is: 137,240.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,022.34 : 248,430.05 = 99,449.86 : x
  2. Step 2: Convert to fraction form
    180,022.34/248,430.05 = 99,449.86/x
  3. Step 3: Cross multiply
    180,022.34x = 248,430.05 × 99,449.86
  4. Step 4: Simplify right side
    180,022.34x = 24,706,333,692.29
  5. Step 5: Solve for x
    x = 24,706,333,692.29/180,022.34
  6. Step 6: Final answer
    x = 137,240.38

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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.