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Finding the Fourth Proportional to 103,606.87, 142,977.27 and 58,284.88

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Solution

The fourth proportional to 103,606.87, 142,977.27 and 58,284.88 is: 80,433.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,606.87 : 142,977.27 = 58,284.88 : x
  2. Step 2: Convert to fraction form
    103,606.87/142,977.27 = 58,284.88/x
  3. Step 3: Cross multiply
    103,606.87x = 142,977.27 × 58,284.88
  4. Step 4: Simplify right side
    103,606.87x = 8,333,413,024.68
  5. Step 5: Solve for x
    x = 8,333,413,024.68/103,606.87
  6. Step 6: Final answer
    x = 80,433.02

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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.