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Finding the Fourth Proportional to 176,616.30, 264,924.45 and 120,629.10

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Solution

The fourth proportional to 176,616.30, 264,924.45 and 120,629.10 is: 180,943.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,616.30 : 264,924.45 = 120,629.10 : x
  2. Step 2: Convert to fraction form
    176,616.30/264,924.45 = 120,629.10/x
  3. Step 3: Cross multiply
    176,616.30x = 264,924.45 × 120,629.10
  4. Step 4: Simplify right side
    176,616.30x = 31,957,597,971.50
  5. Step 5: Solve for x
    x = 31,957,597,971.50/176,616.30
  6. Step 6: Final answer
    x = 180,943.65

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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.