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Finding the Fourth Proportional to 193,594.19, 290,361.31 and 98,894.39

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Solution

The fourth proportional to 193,594.19, 290,361.31 and 98,894.39 is: 148,326.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,594.19 : 290,361.31 = 98,894.39 : x
  2. Step 2: Convert to fraction form
    193,594.19/290,361.31 = 98,894.39/x
  3. Step 3: Cross multiply
    193,594.19x = 290,361.31 × 98,894.39
  4. Step 4: Simplify right side
    193,594.19x = 28,715,102,933.01
  5. Step 5: Solve for x
    x = 28,715,102,933.01/193,594.19
  6. Step 6: Final answer
    x = 148,326.27

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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.