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Finding the Fourth Proportional to 103,038.14, 142,920.08 and 100,306.82

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Solution

The fourth proportional to 103,038.14, 142,920.08 and 100,306.82 is: 139,131.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,038.14 : 142,920.08 = 100,306.82 : x
  2. Step 2: Convert to fraction form
    103,038.14/142,920.08 = 100,306.82/x
  3. Step 3: Cross multiply
    103,038.14x = 142,920.08 × 100,306.82
  4. Step 4: Simplify right side
    103,038.14x = 14,335,858,738.95
  5. Step 5: Solve for x
    x = 14,335,858,738.95/103,038.14
  6. Step 6: Final answer
    x = 139,131.58

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.