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Finding the Fourth Proportional to 105,798.96, 145,936.08 and 73,956.24

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Solution

The fourth proportional to 105,798.96, 145,936.08 and 73,956.24 is: 102,013.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,798.96 : 145,936.08 = 73,956.24 : x
  2. Step 2: Convert to fraction form
    105,798.96/145,936.08 = 73,956.24/x
  3. Step 3: Cross multiply
    105,798.96x = 145,936.08 × 73,956.24
  4. Step 4: Simplify right side
    105,798.96x = 10,792,883,757.14
  5. Step 5: Solve for x
    x = 10,792,883,757.14/105,798.96
  6. Step 6: Final answer
    x = 102,013.14

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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.