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Finding the Fourth Proportional to 176,524.31, 264,784.16 and 43,405.73

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Solution

The fourth proportional to 176,524.31, 264,784.16 and 43,405.73 is: 65,108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,524.31 : 264,784.16 = 43,405.73 : x
  2. Step 2: Convert to fraction form
    176,524.31/264,784.16 = 43,405.73/x
  3. Step 3: Cross multiply
    176,524.31x = 264,784.16 × 43,405.73
  4. Step 4: Simplify right side
    176,524.31x = 11,493,148,541.83
  5. Step 5: Solve for x
    x = 11,493,148,541.83/176,524.31
  6. Step 6: Final answer
    x = 65,108.02

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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.