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Finding the Fourth Proportional to 114,702, 158,288.76 and 64,401

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Solution

The fourth proportional to 114,702, 158,288.76 and 64,401 is: 88,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,702 : 158,288.76 = 64,401 : x
  2. Step 2: Convert to fraction form
    114,702/158,288.76 = 64,401/x
  3. Step 3: Cross multiply
    114,702x = 158,288.76 × 64,401
  4. Step 4: Simplify right side
    114,702x = 10,193,954,432.76
  5. Step 5: Solve for x
    x = 10,193,954,432.76/114,702
  6. Step 6: Final answer
    x = 88,873.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.