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Finding the Fourth Proportional to 252,144, 377,960.76 and 163,453.80

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Solution

The fourth proportional to 252,144, 377,960.76 and 163,453.80 is: 245,015.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,144 : 377,960.76 = 163,453.80 : x
  2. Step 2: Convert to fraction form
    252,144/377,960.76 = 163,453.80/x
  3. Step 3: Cross multiply
    252,144x = 377,960.76 × 163,453.80
  4. Step 4: Simplify right side
    252,144x = 61,779,122,472.89
  5. Step 5: Solve for x
    x = 61,779,122,472.89/252,144
  6. Step 6: Final answer
    x = 245,015.24

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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.