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Finding the Fourth Proportional to 175,305, 262,826.28 and 56,905.68

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Solution

The fourth proportional to 175,305, 262,826.28 and 56,905.68 is: 85,315.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,305 : 262,826.28 = 56,905.68 : x
  2. Step 2: Convert to fraction form
    175,305/262,826.28 = 56,905.68/x
  3. Step 3: Cross multiply
    175,305x = 262,826.28 × 56,905.68
  4. Step 4: Simplify right side
    175,305x = 14,956,308,185.27
  5. Step 5: Solve for x
    x = 14,956,308,185.27/175,305
  6. Step 6: Final answer
    x = 85,315.92

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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.