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Finding the Fourth Proportional to 197,266.83, 295,706.44 and 77,235.76

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Solution

The fourth proportional to 197,266.83, 295,706.44 and 77,235.76 is: 115,777.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,266.83 : 295,706.44 = 77,235.76 : x
  2. Step 2: Convert to fraction form
    197,266.83/295,706.44 = 77,235.76/x
  3. Step 3: Cross multiply
    197,266.83x = 295,706.44 × 77,235.76
  4. Step 4: Simplify right side
    197,266.83x = 22,839,111,630.29
  5. Step 5: Solve for x
    x = 22,839,111,630.29/197,266.83
  6. Step 6: Final answer
    x = 115,777.76

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1.5x scale

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.