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Finding the Fourth Proportional to 182,870.87, 252,379.80 and 114,939

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Solution

The fourth proportional to 182,870.87, 252,379.80 and 114,939 is: 158,627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,870.87 : 252,379.80 = 114,939 : x
  2. Step 2: Convert to fraction form
    182,870.87/252,379.80 = 114,939/x
  3. Step 3: Cross multiply
    182,870.87x = 252,379.80 × 114,939
  4. Step 4: Simplify right side
    182,870.87x = 29,008,281,832.20
  5. Step 5: Solve for x
    x = 29,008,281,832.20/182,870.87
  6. Step 6: Final answer
    x = 158,627.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.