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Finding the Fourth Proportional to 116,423.68, 160,662.76 and 64,738.72

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Solution

The fourth proportional to 116,423.68, 160,662.76 and 64,738.72 is: 89,338.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,423.68 : 160,662.76 = 64,738.72 : x
  2. Step 2: Convert to fraction form
    116,423.68/160,662.76 = 64,738.72/x
  3. Step 3: Cross multiply
    116,423.68x = 160,662.76 × 64,738.72
  4. Step 4: Simplify right side
    116,423.68x = 10,401,101,434.07
  5. Step 5: Solve for x
    x = 10,401,101,434.07/116,423.68
  6. Step 6: Final answer
    x = 89,338.37

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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.