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Finding the Fourth Proportional to 103,037.33, 154,289.84 and 71,114.94

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Solution

The fourth proportional to 103,037.33, 154,289.84 and 71,114.94 is: 106,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,037.33 : 154,289.84 = 71,114.94 : x
  2. Step 2: Convert to fraction form
    103,037.33/154,289.84 = 71,114.94/x
  3. Step 3: Cross multiply
    103,037.33x = 154,289.84 × 71,114.94
  4. Step 4: Simplify right side
    103,037.33x = 10,972,312,714.21
  5. Step 5: Solve for x
    x = 10,972,312,714.21/103,037.33
  6. Step 6: Final answer
    x = 106,488.71

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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.