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Finding the Fourth Proportional to 116,098.72, 160,178.16 and 65,104

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Solution

The fourth proportional to 116,098.72, 160,178.16 and 65,104 is: 89,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,098.72 : 160,178.16 = 65,104 : x
  2. Step 2: Convert to fraction form
    116,098.72/160,178.16 = 65,104/x
  3. Step 3: Cross multiply
    116,098.72x = 160,178.16 × 65,104
  4. Step 4: Simplify right side
    116,098.72x = 10,428,238,928.64
  5. Step 5: Solve for x
    x = 10,428,238,928.64/116,098.72
  6. Step 6: Final answer
    x = 89,822.17

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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.