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Finding the Fourth Proportional to 160,976.80, 241,465.20 and 55,806.40

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Solution

The fourth proportional to 160,976.80, 241,465.20 and 55,806.40 is: 83,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,976.80 : 241,465.20 = 55,806.40 : x
  2. Step 2: Convert to fraction form
    160,976.80/241,465.20 = 55,806.40/x
  3. Step 3: Cross multiply
    160,976.80x = 241,465.20 × 55,806.40
  4. Step 4: Simplify right side
    160,976.80x = 13,475,303,537.28
  5. Step 5: Solve for x
    x = 13,475,303,537.28/160,976.80
  6. Step 6: Final answer
    x = 83,709.60

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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.