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Finding the Fourth Proportional to 180,200.38, 248,669.19 and 99,622.78

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Solution

The fourth proportional to 180,200.38, 248,669.19 and 99,622.78 is: 137,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,200.38 : 248,669.19 = 99,622.78 : x
  2. Step 2: Convert to fraction form
    180,200.38/248,669.19 = 99,622.78/x
  3. Step 3: Cross multiply
    180,200.38x = 248,669.19 × 99,622.78
  4. Step 4: Simplify right side
    180,200.38x = 24,773,116,008.15
  5. Step 5: Solve for x
    x = 24,773,116,008.15/180,200.38
  6. Step 6: Final answer
    x = 137,475.38

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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.