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Finding the Fourth Proportional to 198,594.96, 273,797.73 and 164,477.76

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Solution

The fourth proportional to 198,594.96, 273,797.73 and 164,477.76 is: 226,761.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,594.96 : 273,797.73 = 164,477.76 : x
  2. Step 2: Convert to fraction form
    198,594.96/273,797.73 = 164,477.76/x
  3. Step 3: Cross multiply
    198,594.96x = 273,797.73 × 164,477.76
  4. Step 4: Simplify right side
    198,594.96x = 45,033,637,323.48
  5. Step 5: Solve for x
    x = 45,033,637,323.48/198,594.96
  6. Step 6: Final answer
    x = 226,761.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.