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Finding the Fourth Proportional to 116,463.16, 160,718.34 and 66,162.16

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Solution

The fourth proportional to 116,463.16, 160,718.34 and 66,162.16 is: 91,303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,463.16 : 160,718.34 = 66,162.16 : x
  2. Step 2: Convert to fraction form
    116,463.16/160,718.34 = 66,162.16/x
  3. Step 3: Cross multiply
    116,463.16x = 160,718.34 × 66,162.16
  4. Step 4: Simplify right side
    116,463.16x = 10,633,472,526.01
  5. Step 5: Solve for x
    x = 10,633,472,526.01/116,463.16
  6. Step 6: Final answer
    x = 91,303.31

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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.