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Finding the Fourth Proportional to 116,447.76, 160,846.44 and 86,288.40

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Solution

The fourth proportional to 116,447.76, 160,846.44 and 86,288.40 is: 119,188.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,447.76 : 160,846.44 = 86,288.40 : x
  2. Step 2: Convert to fraction form
    116,447.76/160,846.44 = 86,288.40/x
  3. Step 3: Cross multiply
    116,447.76x = 160,846.44 × 86,288.40
  4. Step 4: Simplify right side
    116,447.76x = 13,879,181,953.30
  5. Step 5: Solve for x
    x = 13,879,181,953.30/116,447.76
  6. Step 6: Final answer
    x = 119,188.05

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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.