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Finding the Fourth Proportional to 116,608.32, 160,923.84 and 71,280.96

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Solution

The fourth proportional to 116,608.32, 160,923.84 and 71,280.96 is: 98,370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,608.32 : 160,923.84 = 71,280.96 : x
  2. Step 2: Convert to fraction form
    116,608.32/160,923.84 = 71,280.96/x
  3. Step 3: Cross multiply
    116,608.32x = 160,923.84 × 71,280.96
  4. Step 4: Simplify right side
    116,608.32x = 11,470,805,802.09
  5. Step 5: Solve for x
    x = 11,470,805,802.09/116,608.32
  6. Step 6: Final answer
    x = 98,370.39

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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.