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Finding the Fourth Proportional to 116,693.83, 161,041.32 and 71,391.94

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Solution

The fourth proportional to 116,693.83, 161,041.32 and 71,391.94 is: 98,523.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,693.83 : 161,041.32 = 71,391.94 : x
  2. Step 2: Convert to fraction form
    116,693.83/161,041.32 = 71,391.94/x
  3. Step 3: Cross multiply
    116,693.83x = 161,041.32 × 71,391.94
  4. Step 4: Simplify right side
    116,693.83x = 11,497,052,254.96
  5. Step 5: Solve for x
    x = 11,497,052,254.96/116,693.83
  6. Step 6: Final answer
    x = 98,523.22

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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.