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Finding the Fourth Proportional to 116,467.88, 160,731.40 and 65,496.68

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Solution

The fourth proportional to 116,467.88, 160,731.40 and 65,496.68 is: 90,388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,467.88 : 160,731.40 = 65,496.68 : x
  2. Step 2: Convert to fraction form
    116,467.88/160,731.40 = 65,496.68/x
  3. Step 3: Cross multiply
    116,467.88x = 160,731.40 × 65,496.68
  4. Step 4: Simplify right side
    116,467.88x = 10,527,373,071.75
  5. Step 5: Solve for x
    x = 10,527,373,071.75/116,467.88
  6. Step 6: Final answer
    x = 90,388.64

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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.