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Finding the Fourth Proportional to 175,211.85, 262,878.74 and 55,287.30

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Solution

The fourth proportional to 175,211.85, 262,878.74 and 55,287.30 is: 82,950.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,211.85 : 262,878.74 = 55,287.30 : x
  2. Step 2: Convert to fraction form
    175,211.85/262,878.74 = 55,287.30/x
  3. Step 3: Cross multiply
    175,211.85x = 262,878.74 × 55,287.30
  4. Step 4: Simplify right side
    175,211.85x = 14,533,855,485.57
  5. Step 5: Solve for x
    x = 14,533,855,485.57/175,211.85
  6. Step 6: Final answer
    x = 82,950.19

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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.