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Finding the Fourth Proportional to 116,176.65, 160,323.84 and 65,182.34

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Solution

The fourth proportional to 116,176.65, 160,323.84 and 65,182.34 is: 89,951.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,176.65 : 160,323.84 = 65,182.34 : x
  2. Step 2: Convert to fraction form
    116,176.65/160,323.84 = 65,182.34/x
  3. Step 3: Cross multiply
    116,176.65x = 160,323.84 × 65,182.34
  4. Step 4: Simplify right side
    116,176.65x = 10,450,282,247.37
  5. Step 5: Solve for x
    x = 10,450,282,247.37/116,176.65
  6. Step 6: Final answer
    x = 89,951.66

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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.