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Finding the Fourth Proportional to 299,096.16, 448,692.86 and 99,382.56

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Solution

The fourth proportional to 299,096.16, 448,692.86 and 99,382.56 is: 149,090.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,096.16 : 448,692.86 = 99,382.56 : x
  2. Step 2: Convert to fraction form
    299,096.16/448,692.86 = 99,382.56/x
  3. Step 3: Cross multiply
    299,096.16x = 448,692.86 × 99,382.56
  4. Step 4: Simplify right side
    299,096.16x = 44,592,245,080.52
  5. Step 5: Solve for x
    x = 44,592,245,080.52/299,096.16
  6. Step 6: Final answer
    x = 149,090.00

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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.