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Finding the Fourth Proportional to 198,913.06, 274,477.52 and 117,235.98

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Solution

The fourth proportional to 198,913.06, 274,477.52 and 117,235.98 is: 161,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,913.06 : 274,477.52 = 117,235.98 : x
  2. Step 2: Convert to fraction form
    198,913.06/274,477.52 = 117,235.98/x
  3. Step 3: Cross multiply
    198,913.06x = 274,477.52 × 117,235.98
  4. Step 4: Simplify right side
    198,913.06x = 32,178,641,045.17
  5. Step 5: Solve for x
    x = 32,178,641,045.17/198,913.06
  6. Step 6: Final answer
    x = 161,772.39

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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.