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Finding the Fourth Proportional to 197,894.44, 296,844.90 and 57,660.76

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Solution

The fourth proportional to 197,894.44, 296,844.90 and 57,660.76 is: 86,492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,894.44 : 296,844.90 = 57,660.76 : x
  2. Step 2: Convert to fraction form
    197,894.44/296,844.90 = 57,660.76/x
  3. Step 3: Cross multiply
    197,894.44x = 296,844.90 × 57,660.76
  4. Step 4: Simplify right side
    197,894.44x = 17,116,302,536.12
  5. Step 5: Solve for x
    x = 17,116,302,536.12/197,894.44
  6. Step 6: Final answer
    x = 86,492.08

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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.