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Finding the Fourth Proportional to 105,052.56, 144,984.60 and 58,490.16

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Solution

The fourth proportional to 105,052.56, 144,984.60 and 58,490.16 is: 80,723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,052.56 : 144,984.60 = 58,490.16 : x
  2. Step 2: Convert to fraction form
    105,052.56/144,984.60 = 58,490.16/x
  3. Step 3: Cross multiply
    105,052.56x = 144,984.60 × 58,490.16
  4. Step 4: Simplify right side
    105,052.56x = 8,480,172,451.54
  5. Step 5: Solve for x
    x = 8,480,172,451.54/105,052.56
  6. Step 6: Final answer
    x = 80,723.14

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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.