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Finding the Fourth Proportional to 176,472.48, 264,559.80 and 76,557.42

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Solution

The fourth proportional to 176,472.48, 264,559.80 and 76,557.42 is: 114,771.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,472.48 : 264,559.80 = 76,557.42 : x
  2. Step 2: Convert to fraction form
    176,472.48/264,559.80 = 76,557.42/x
  3. Step 3: Cross multiply
    176,472.48x = 264,559.80 × 76,557.42
  4. Step 4: Simplify right side
    176,472.48x = 20,254,015,723.72
  5. Step 5: Solve for x
    x = 20,254,015,723.72/176,472.48
  6. Step 6: Final answer
    x = 114,771.53

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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.