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Finding the Fourth Proportional to 105,893.44, 146,136.78 and 58,146.40

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Solution

The fourth proportional to 105,893.44, 146,136.78 and 58,146.40 is: 80,244.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,893.44 : 146,136.78 = 58,146.40 : x
  2. Step 2: Convert to fraction form
    105,893.44/146,136.78 = 58,146.40/x
  3. Step 3: Cross multiply
    105,893.44x = 146,136.78 × 58,146.40
  4. Step 4: Simplify right side
    105,893.44x = 8,497,327,664.59
  5. Step 5: Solve for x
    x = 8,497,327,664.59/105,893.44
  6. Step 6: Final answer
    x = 80,244.14

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1.5x scale

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.