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Finding the Fourth Proportional to 241,040.75, 361,509.21 and 98,746.49

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Solution

The fourth proportional to 241,040.75, 361,509.21 and 98,746.49 is: 148,098.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,040.75 : 361,509.21 = 98,746.49 : x
  2. Step 2: Convert to fraction form
    241,040.75/361,509.21 = 98,746.49/x
  3. Step 3: Cross multiply
    241,040.75x = 361,509.21 × 98,746.49
  4. Step 4: Simplify right side
    241,040.75x = 35,697,763,782.63
  5. Step 5: Solve for x
    x = 35,697,763,782.63/241,040.75
  6. Step 6: Final answer
    x = 148,098.46

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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.