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Finding the Fourth Proportional to 116,662.68, 160,993.02 and 65,675.16

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Solution

The fourth proportional to 116,662.68, 160,993.02 and 65,675.16 is: 90,630.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,662.68 : 160,993.02 = 65,675.16 : x
  2. Step 2: Convert to fraction form
    116,662.68/160,993.02 = 65,675.16/x
  3. Step 3: Cross multiply
    116,662.68x = 160,993.02 × 65,675.16
  4. Step 4: Simplify right side
    116,662.68x = 10,573,242,347.38
  5. Step 5: Solve for x
    x = 10,573,242,347.38/116,662.68
  6. Step 6: Final answer
    x = 90,630.89

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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.