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Finding the Fourth Proportional to 183,631.50, 253,408.14 and 103,052.70

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Solution

The fourth proportional to 183,631.50, 253,408.14 and 103,052.70 is: 142,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,631.50 : 253,408.14 = 103,052.70 : x
  2. Step 2: Convert to fraction form
    183,631.50/253,408.14 = 103,052.70/x
  3. Step 3: Cross multiply
    183,631.50x = 253,408.14 × 103,052.70
  4. Step 4: Simplify right side
    183,631.50x = 26,114,393,028.98
  5. Step 5: Solve for x
    x = 26,114,393,028.98/183,631.50
  6. Step 6: Final answer
    x = 142,210.86

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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.