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Finding the Fourth Proportional to 103,100.14, 142,235.67 and 67,277.26

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Solution

The fourth proportional to 103,100.14, 142,235.67 and 67,277.26 is: 92,814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,100.14 : 142,235.67 = 67,277.26 : x
  2. Step 2: Convert to fraction form
    103,100.14/142,235.67 = 67,277.26/x
  3. Step 3: Cross multiply
    103,100.14x = 142,235.67 × 67,277.26
  4. Step 4: Simplify right side
    103,100.14x = 9,569,226,151.86
  5. Step 5: Solve for x
    x = 9,569,226,151.86/103,100.14
  6. Step 6: Final answer
    x = 92,814.87

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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.