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Finding the Fourth Proportional to 116,196.23, 160,314.23 and 65,201.46

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Solution

The fourth proportional to 116,196.23, 160,314.23 and 65,201.46 is: 89,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,196.23 : 160,314.23 = 65,201.46 : x
  2. Step 2: Convert to fraction form
    116,196.23/160,314.23 = 65,201.46/x
  3. Step 3: Cross multiply
    116,196.23x = 160,314.23 × 65,201.46
  4. Step 4: Simplify right side
    116,196.23x = 10,452,721,528.77
  5. Step 5: Solve for x
    x = 10,452,721,528.77/116,196.23
  6. Step 6: Final answer
    x = 89,957.50

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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.