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Finding the Fourth Proportional to 103,605.77, 142,964.38 and 58,282.82

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Solution

The fourth proportional to 103,605.77, 142,964.38 and 58,282.82 is: 80,423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,605.77 : 142,964.38 = 58,282.82 : x
  2. Step 2: Convert to fraction form
    103,605.77/142,964.38 = 58,282.82/x
  3. Step 3: Cross multiply
    103,605.77x = 142,964.38 × 58,282.82
  4. Step 4: Simplify right side
    103,605.77x = 8,332,366,636.05
  5. Step 5: Solve for x
    x = 8,332,366,636.05/103,605.77
  6. Step 6: Final answer
    x = 80,423.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.