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Finding the Fourth Proportional to 198,477.48, 297,764.70 and 98,684.64

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Solution

The fourth proportional to 198,477.48, 297,764.70 and 98,684.64 is: 148,051.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,477.48 : 297,764.70 = 98,684.64 : x
  2. Step 2: Convert to fraction form
    198,477.48/297,764.70 = 98,684.64/x
  3. Step 3: Cross multiply
    198,477.48x = 297,764.70 × 98,684.64
  4. Step 4: Simplify right side
    198,477.48x = 29,384,802,224.21
  5. Step 5: Solve for x
    x = 29,384,802,224.21/198,477.48
  6. Step 6: Final answer
    x = 148,051.06

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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.