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Finding the Fourth Proportional to 103,572.54, 142,924.50 and 58,257.90

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Solution

The fourth proportional to 103,572.54, 142,924.50 and 58,257.90 is: 80,392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,572.54 : 142,924.50 = 58,257.90 : x
  2. Step 2: Convert to fraction form
    103,572.54/142,924.50 = 58,257.90/x
  3. Step 3: Cross multiply
    103,572.54x = 142,924.50 × 58,257.90
  4. Step 4: Simplify right side
    103,572.54x = 8,326,481,228.55
  5. Step 5: Solve for x
    x = 8,326,481,228.55/103,572.54
  6. Step 6: Final answer
    x = 80,392.75

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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.