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Finding the Fourth Proportional to 299,740.80, 449,570.16 and 100,056.63

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Solution

The fourth proportional to 299,740.80, 449,570.16 and 100,056.63 is: 150,071.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,740.80 : 449,570.16 = 100,056.63 : x
  2. Step 2: Convert to fraction form
    299,740.80/449,570.16 = 100,056.63/x
  3. Step 3: Cross multiply
    299,740.80x = 449,570.16 × 100,056.63
  4. Step 4: Simplify right side
    299,740.80x = 44,982,475,158.16
  5. Step 5: Solve for x
    x = 44,982,475,158.16/299,740.80
  6. Step 6: Final answer
    x = 150,071.25

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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.