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Finding the Fourth Proportional to 198,435.09, 297,693.63 and 65,323.34

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Solution

The fourth proportional to 198,435.09, 297,693.63 and 65,323.34 is: 97,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,435.09 : 297,693.63 = 65,323.34 : x
  2. Step 2: Convert to fraction form
    198,435.09/297,693.63 = 65,323.34/x
  3. Step 3: Cross multiply
    198,435.09x = 297,693.63 × 65,323.34
  4. Step 4: Simplify right side
    198,435.09x = 19,446,340,719.86
  5. Step 5: Solve for x
    x = 19,446,340,719.86/198,435.09
  6. Step 6: Final answer
    x = 97,998.50

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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.