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Finding the Fourth Proportional to 198,582.34, 274,045.48 and 107,938.50

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Solution

The fourth proportional to 198,582.34, 274,045.48 and 107,938.50 is: 148,956.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,582.34 : 274,045.48 = 107,938.50 : x
  2. Step 2: Convert to fraction form
    198,582.34/274,045.48 = 107,938.50/x
  3. Step 3: Cross multiply
    198,582.34x = 274,045.48 × 107,938.50
  4. Step 4: Simplify right side
    198,582.34x = 29,580,058,042.98
  5. Step 5: Solve for x
    x = 29,580,058,042.98/198,582.34
  6. Step 6: Final answer
    x = 148,956.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.