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Finding the Fourth Proportional to 289,315.20, 433,932.80 and 89,772.80

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Solution

The fourth proportional to 289,315.20, 433,932.80 and 89,772.80 is: 134,646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,315.20 : 433,932.80 = 89,772.80 : x
  2. Step 2: Convert to fraction form
    289,315.20/433,932.80 = 89,772.80/x
  3. Step 3: Cross multiply
    289,315.20x = 433,932.80 × 89,772.80
  4. Step 4: Simplify right side
    289,315.20x = 38,955,362,467.84
  5. Step 5: Solve for x
    x = 38,955,362,467.84/289,315.20
  6. Step 6: Final answer
    x = 134,646.79

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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.