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Finding the Fourth Proportional to 198,941.01, 298,442.30 and 65,854.77

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Solution

The fourth proportional to 198,941.01, 298,442.30 and 65,854.77 is: 98,792.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,941.01 : 298,442.30 = 65,854.77 : x
  2. Step 2: Convert to fraction form
    198,941.01/298,442.30 = 65,854.77/x
  3. Step 3: Cross multiply
    198,941.01x = 298,442.30 × 65,854.77
  4. Step 4: Simplify right side
    198,941.01x = 19,653,848,695.50
  5. Step 5: Solve for x
    x = 19,653,848,695.50/198,941.01
  6. Step 6: Final answer
    x = 98,792.34

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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.