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Finding the Fourth Proportional to 116,156.49, 160,345.08 and 78,481.77

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Solution

The fourth proportional to 116,156.49, 160,345.08 and 78,481.77 is: 108,338.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,156.49 : 160,345.08 = 78,481.77 : x
  2. Step 2: Convert to fraction form
    116,156.49/160,345.08 = 78,481.77/x
  3. Step 3: Cross multiply
    116,156.49x = 160,345.08 × 78,481.77
  4. Step 4: Simplify right side
    116,156.49x = 12,584,165,689.19
  5. Step 5: Solve for x
    x = 12,584,165,689.19/116,156.49
  6. Step 6: Final answer
    x = 108,338.03

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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.