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Finding the Fourth Proportional to 241,184.58, 361,772.52 and 98,998.98

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Solution

The fourth proportional to 241,184.58, 361,772.52 and 98,998.98 is: 148,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,184.58 : 361,772.52 = 98,998.98 : x
  2. Step 2: Convert to fraction form
    241,184.58/361,772.52 = 98,998.98/x
  3. Step 3: Cross multiply
    241,184.58x = 361,772.52 × 98,998.98
  4. Step 4: Simplify right side
    241,184.58x = 35,815,110,472.03
  5. Step 5: Solve for x
    x = 35,815,110,472.03/241,184.58
  6. Step 6: Final answer
    x = 148,496.68

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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.