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Finding the Fourth Proportional to 116,506.23, 160,777.07 and 65,518.95

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Solution

The fourth proportional to 116,506.23, 160,777.07 and 65,518.95 is: 90,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,506.23 : 160,777.07 = 65,518.95 : x
  2. Step 2: Convert to fraction form
    116,506.23/160,777.07 = 65,518.95/x
  3. Step 3: Cross multiply
    116,506.23x = 160,777.07 × 65,518.95
  4. Step 4: Simplify right side
    116,506.23x = 10,533,944,201.03
  5. Step 5: Solve for x
    x = 10,533,944,201.03/116,506.23
  6. Step 6: Final answer
    x = 90,415.29

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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.