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Finding the Fourth Proportional to 154,783.94, 232,157.19 and 42,473.30

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Solution

The fourth proportional to 154,783.94, 232,157.19 and 42,473.30 is: 63,704.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,783.94 : 232,157.19 = 42,473.30 : x
  2. Step 2: Convert to fraction form
    154,783.94/232,157.19 = 42,473.30/x
  3. Step 3: Cross multiply
    154,783.94x = 232,157.19 × 42,473.30
  4. Step 4: Simplify right side
    154,783.94x = 9,860,481,978.03
  5. Step 5: Solve for x
    x = 9,860,481,978.03/154,783.94
  6. Step 6: Final answer
    x = 63,704.81

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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.