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Finding the Fourth Proportional to 301,355.72, 451,853.16 and 101,671.70

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Solution

The fourth proportional to 301,355.72, 451,853.16 and 101,671.70 is: 152,446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,355.72 : 451,853.16 = 101,671.70 : x
  2. Step 2: Convert to fraction form
    301,355.72/451,853.16 = 101,671.70/x
  3. Step 3: Cross multiply
    301,355.72x = 451,853.16 × 101,671.70
  4. Step 4: Simplify right side
    301,355.72x = 45,940,678,927.57
  5. Step 5: Solve for x
    x = 45,940,678,927.57/301,355.72
  6. Step 6: Final answer
    x = 152,446.68

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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.