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Finding the Fourth Proportional to 199,433, 298,981.71 and 92,762.78

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Solution

The fourth proportional to 199,433, 298,981.71 and 92,762.78 is: 139,066.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,433 : 298,981.71 = 92,762.78 : x
  2. Step 2: Convert to fraction form
    199,433/298,981.71 = 92,762.78/x
  3. Step 3: Cross multiply
    199,433x = 298,981.71 × 92,762.78
  4. Step 4: Simplify right side
    199,433x = 27,734,374,588.75
  5. Step 5: Solve for x
    x = 27,734,374,588.75/199,433
  6. Step 6: Final answer
    x = 139,066.13

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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.