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Finding the Fourth Proportional to 160,946.40, 241,323.60 and 98,661.60

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Solution

The fourth proportional to 160,946.40, 241,323.60 and 98,661.60 is: 147,933.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,946.40 : 241,323.60 = 98,661.60 : x
  2. Step 2: Convert to fraction form
    160,946.40/241,323.60 = 98,661.60/x
  3. Step 3: Cross multiply
    160,946.40x = 241,323.60 × 98,661.60
  4. Step 4: Simplify right side
    160,946.40x = 23,809,372,493.76
  5. Step 5: Solve for x
    x = 23,809,372,493.76/160,946.40
  6. Step 6: Final answer
    x = 147,933.55

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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.