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Finding the Fourth Proportional to 197,964, 296,995.52 and 57,722.63

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Solution

The fourth proportional to 197,964, 296,995.52 and 57,722.63 is: 86,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,964 : 296,995.52 = 57,722.63 : x
  2. Step 2: Convert to fraction form
    197,964/296,995.52 = 57,722.63/x
  3. Step 3: Cross multiply
    197,964x = 296,995.52 × 57,722.63
  4. Step 4: Simplify right side
    197,964x = 17,143,361,171.95
  5. Step 5: Solve for x
    x = 17,143,361,171.95/197,964
  6. Step 6: Final answer
    x = 86,598.38

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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.