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Finding the Fourth Proportional to 103,143.50, 142,338.03 and 58,431.50

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Solution

The fourth proportional to 103,143.50, 142,338.03 and 58,431.50 is: 80,635.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,143.50 : 142,338.03 = 58,431.50 : x
  2. Step 2: Convert to fraction form
    103,143.50/142,338.03 = 58,431.50/x
  3. Step 3: Cross multiply
    103,143.50x = 142,338.03 × 58,431.50
  4. Step 4: Simplify right side
    103,143.50x = 8,317,024,599.95
  5. Step 5: Solve for x
    x = 8,317,024,599.95/103,143.50
  6. Step 6: Final answer
    x = 80,635.47

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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.