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Finding the Fourth Proportional to 303,970.75, 455,956.14 and 82,354.75

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Solution

The fourth proportional to 303,970.75, 455,956.14 and 82,354.75 is: 123,532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,970.75 : 455,956.14 = 82,354.75 : x
  2. Step 2: Convert to fraction form
    303,970.75/455,956.14 = 82,354.75/x
  3. Step 3: Cross multiply
    303,970.75x = 455,956.14 × 82,354.75
  4. Step 4: Simplify right side
    303,970.75x = 37,550,153,920.67
  5. Step 5: Solve for x
    x = 37,550,153,920.67/303,970.75
  6. Step 6: Final answer
    x = 123,532.13

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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.