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Finding the Fourth Proportional to 119,868, 179,810.64 and 45,996

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Solution

The fourth proportional to 119,868, 179,810.64 and 45,996 is: 68,997.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,868 : 179,810.64 = 45,996 : x
  2. Step 2: Convert to fraction form
    119,868/179,810.64 = 45,996/x
  3. Step 3: Cross multiply
    119,868x = 179,810.64 × 45,996
  4. Step 4: Simplify right side
    119,868x = 8,270,570,197.44
  5. Step 5: Solve for x
    x = 8,270,570,197.44/119,868
  6. Step 6: Final answer
    x = 68,997.32

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Why These Related Problems?

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