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Finding the Fourth Proportional to 103,408.03, 142,693 and 58,075.71

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Solution

The fourth proportional to 103,408.03, 142,693 and 58,075.71 is: 80,138.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,408.03 : 142,693 = 58,075.71 : x
  2. Step 2: Convert to fraction form
    103,408.03/142,693 = 58,075.71/x
  3. Step 3: Cross multiply
    103,408.03x = 142,693 × 58,075.71
  4. Step 4: Simplify right side
    103,408.03x = 8,286,997,287.03
  5. Step 5: Solve for x
    x = 8,286,997,287.03/103,408.03
  6. Step 6: Final answer
    x = 80,138.82

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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.