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Finding the Fourth Proportional to 116,457.66, 160,715.07 and 71,143.02

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Solution

The fourth proportional to 116,457.66, 160,715.07 and 71,143.02 is: 98,179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,457.66 : 160,715.07 = 71,143.02 : x
  2. Step 2: Convert to fraction form
    116,457.66/160,715.07 = 71,143.02/x
  3. Step 3: Cross multiply
    116,457.66x = 160,715.07 × 71,143.02
  4. Step 4: Simplify right side
    116,457.66x = 11,433,755,439.31
  5. Step 5: Solve for x
    x = 11,433,755,439.31/116,457.66
  6. Step 6: Final answer
    x = 98,179.51

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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.