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Finding the Fourth Proportional to 103,164.75, 142,369.52 and 58,452.75

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Solution

The fourth proportional to 103,164.75, 142,369.52 and 58,452.75 is: 80,666.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,164.75 : 142,369.52 = 58,452.75 : x
  2. Step 2: Convert to fraction form
    103,164.75/142,369.52 = 58,452.75/x
  3. Step 3: Cross multiply
    103,164.75x = 142,369.52 × 58,452.75
  4. Step 4: Simplify right side
    103,164.75x = 8,321,889,667.92
  5. Step 5: Solve for x
    x = 8,321,889,667.92/103,164.75
  6. Step 6: Final answer
    x = 80,666.02

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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.