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Finding the Fourth Proportional to 115,985, 160,059.94 and 62,993

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Solution

The fourth proportional to 115,985, 160,059.94 and 62,993 is: 86,930.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,985 : 160,059.94 = 62,993 : x
  2. Step 2: Convert to fraction form
    115,985/160,059.94 = 62,993/x
  3. Step 3: Cross multiply
    115,985x = 160,059.94 × 62,993
  4. Step 4: Simplify right side
    115,985x = 10,082,655,800.42
  5. Step 5: Solve for x
    x = 10,082,655,800.42/115,985
  6. Step 6: Final answer
    x = 86,930.69

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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.