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Finding the Fourth Proportional to 103,617.98, 142,992.63 and 58,295.98

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Solution

The fourth proportional to 103,617.98, 142,992.63 and 58,295.98 is: 80,448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,617.98 : 142,992.63 = 58,295.98 : x
  2. Step 2: Convert to fraction form
    103,617.98/142,992.63 = 58,295.98/x
  3. Step 3: Cross multiply
    103,617.98x = 142,992.63 × 58,295.98
  4. Step 4: Simplify right side
    103,617.98x = 8,335,895,141.15
  5. Step 5: Solve for x
    x = 8,335,895,141.15/103,617.98
  6. Step 6: Final answer
    x = 80,448.35

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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.