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Finding the Fourth Proportional to 116,011.50, 160,173.09 and 89,106

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Solution

The fourth proportional to 116,011.50, 160,173.09 and 89,106 is: 123,025.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,011.50 : 160,173.09 = 89,106 : x
  2. Step 2: Convert to fraction form
    116,011.50/160,173.09 = 89,106/x
  3. Step 3: Cross multiply
    116,011.50x = 160,173.09 × 89,106
  4. Step 4: Simplify right side
    116,011.50x = 14,272,383,357.54
  5. Step 5: Solve for x
    x = 14,272,383,357.54/116,011.50
  6. Step 6: Final answer
    x = 123,025.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.