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Finding the Fourth Proportional to 197,113.20, 295,669.80 and 112,840.80

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Solution

The fourth proportional to 197,113.20, 295,669.80 and 112,840.80 is: 169,261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,113.20 : 295,669.80 = 112,840.80 : x
  2. Step 2: Convert to fraction form
    197,113.20/295,669.80 = 112,840.80/x
  3. Step 3: Cross multiply
    197,113.20x = 295,669.80 × 112,840.80
  4. Step 4: Simplify right side
    197,113.20x = 33,363,616,767.84
  5. Step 5: Solve for x
    x = 33,363,616,767.84/197,113.20
  6. Step 6: Final answer
    x = 169,261.20

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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.