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Finding the Fourth Proportional to 116,415.97, 160,693.37 and 75,635.89

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Solution

The fourth proportional to 116,415.97, 160,693.37 and 75,635.89 is: 104,403.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,415.97 : 160,693.37 = 75,635.89 : x
  2. Step 2: Convert to fraction form
    116,415.97/160,693.37 = 75,635.89/x
  3. Step 3: Cross multiply
    116,415.97x = 160,693.37 × 75,635.89
  4. Step 4: Simplify right side
    116,415.97x = 12,154,185,844.41
  5. Step 5: Solve for x
    x = 12,154,185,844.41/116,415.97
  6. Step 6: Final answer
    x = 104,403.08

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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.