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Finding the Fourth Proportional to 175,306, 262,827.78 and 56,906.68

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Solution

The fourth proportional to 175,306, 262,827.78 and 56,906.68 is: 85,317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,306 : 262,827.78 = 56,906.68 : x
  2. Step 2: Convert to fraction form
    175,306/262,827.78 = 56,906.68/x
  3. Step 3: Cross multiply
    175,306x = 262,827.78 × 56,906.68
  4. Step 4: Simplify right side
    175,306x = 14,956,656,371.57
  5. Step 5: Solve for x
    x = 14,956,656,371.57/175,306
  6. Step 6: Final answer
    x = 85,317.42

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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.