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Finding the Fourth Proportional to 193,992.27, 290,903.56 and 97,870.34

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Solution

The fourth proportional to 193,992.27, 290,903.56 and 97,870.34 is: 146,762.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,992.27 : 290,903.56 = 97,870.34 : x
  2. Step 2: Convert to fraction form
    193,992.27/290,903.56 = 97,870.34/x
  3. Step 3: Cross multiply
    193,992.27x = 290,903.56 × 97,870.34
  4. Step 4: Simplify right side
    193,992.27x = 28,470,830,114.67
  5. Step 5: Solve for x
    x = 28,470,830,114.67/193,992.27
  6. Step 6: Final answer
    x = 146,762.71

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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.