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Finding the Fourth Proportional to 224,564.09, 309,950.54 and 148,096.98

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Solution

The fourth proportional to 224,564.09, 309,950.54 and 148,096.98 is: 204,408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,564.09 : 309,950.54 = 148,096.98 : x
  2. Step 2: Convert to fraction form
    224,564.09/309,950.54 = 148,096.98/x
  3. Step 3: Cross multiply
    224,564.09x = 309,950.54 × 148,096.98
  4. Step 4: Simplify right side
    224,564.09x = 45,902,738,182.88
  5. Step 5: Solve for x
    x = 45,902,738,182.88/224,564.09
  6. Step 6: Final answer
    x = 204,408.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.