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Finding the Fourth Proportional to 103,585.50, 142,952.26 and 58,265.60

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Solution

The fourth proportional to 103,585.50, 142,952.26 and 58,265.60 is: 80,408.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,585.50 : 142,952.26 = 58,265.60 : x
  2. Step 2: Convert to fraction form
    103,585.50/142,952.26 = 58,265.60/x
  3. Step 3: Cross multiply
    103,585.50x = 142,952.26 × 58,265.60
  4. Step 4: Simplify right side
    103,585.50x = 8,329,199,200.26
  5. Step 5: Solve for x
    x = 8,329,199,200.26/103,585.50
  6. Step 6: Final answer
    x = 80,408.93

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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.