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Finding the Fourth Proportional to 116,501.96, 160,767.94 and 65,513.24

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Solution

The fourth proportional to 116,501.96, 160,767.94 and 65,513.24 is: 90,405.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,501.96 : 160,767.94 = 65,513.24 : x
  2. Step 2: Convert to fraction form
    116,501.96/160,767.94 = 65,513.24/x
  3. Step 3: Cross multiply
    116,501.96x = 160,767.94 × 65,513.24
  4. Step 4: Simplify right side
    116,501.96x = 10,532,428,637.53
  5. Step 5: Solve for x
    x = 10,532,428,637.53/116,501.96
  6. Step 6: Final answer
    x = 90,405.59

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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.