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Finding the Fourth Proportional to 102,934.30, 154,408.65 and 40,596.70

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Solution

The fourth proportional to 102,934.30, 154,408.65 and 40,596.70 is: 60,897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,934.30 : 154,408.65 = 40,596.70 : x
  2. Step 2: Convert to fraction form
    102,934.30/154,408.65 = 40,596.70/x
  3. Step 3: Cross multiply
    102,934.30x = 154,408.65 × 40,596.70
  4. Step 4: Simplify right side
    102,934.30x = 6,268,481,641.46
  5. Step 5: Solve for x
    x = 6,268,481,641.46/102,934.30
  6. Step 6: Final answer
    x = 60,897.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.