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Finding the Fourth Proportional to 116,194.73, 160,312.16 and 65,199.96

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Solution

The fourth proportional to 116,194.73, 160,312.16 and 65,199.96 is: 89,955.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,194.73 : 160,312.16 = 65,199.96 : x
  2. Step 2: Convert to fraction form
    116,194.73/160,312.16 = 65,199.96/x
  3. Step 3: Cross multiply
    116,194.73x = 160,312.16 × 65,199.96
  4. Step 4: Simplify right side
    116,194.73x = 10,452,346,582.51
  5. Step 5: Solve for x
    x = 10,452,346,582.51/116,194.73
  6. Step 6: Final answer
    x = 89,955.43

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Why These Related Problems?

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