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Finding the Fourth Proportional to 306,007.40, 459,075.90 and 92,757.80

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Solution

The fourth proportional to 306,007.40, 459,075.90 and 92,757.80 is: 139,156.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,007.40 : 459,075.90 = 92,757.80 : x
  2. Step 2: Convert to fraction form
    306,007.40/459,075.90 = 92,757.80/x
  3. Step 3: Cross multiply
    306,007.40x = 459,075.90 × 92,757.80
  4. Step 4: Simplify right side
    306,007.40x = 42,582,870,517.02
  5. Step 5: Solve for x
    x = 42,582,870,517.02/306,007.40
  6. Step 6: Final answer
    x = 139,156.34

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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.