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Finding the Fourth Proportional to 198,463.67, 297,744.11 and 98,670.86

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Solution

The fourth proportional to 198,463.67, 297,744.11 and 98,670.86 is: 148,030.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,463.67 : 297,744.11 = 98,670.86 : x
  2. Step 2: Convert to fraction form
    198,463.67/297,744.11 = 98,670.86/x
  3. Step 3: Cross multiply
    198,463.67x = 297,744.11 × 98,670.86
  4. Step 4: Simplify right side
    198,463.67x = 29,378,666,900.28
  5. Step 5: Solve for x
    x = 29,378,666,900.28/198,463.67
  6. Step 6: Final answer
    x = 148,030.45

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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.