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Finding the Fourth Proportional to 254,539.80, 381,809.70 and 161,458.20

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Solution

The fourth proportional to 254,539.80, 381,809.70 and 161,458.20 is: 242,187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,539.80 : 381,809.70 = 161,458.20 : x
  2. Step 2: Convert to fraction form
    254,539.80/381,809.70 = 161,458.20/x
  3. Step 3: Cross multiply
    254,539.80x = 381,809.70 × 161,458.20
  4. Step 4: Simplify right side
    254,539.80x = 61,646,306,904.54
  5. Step 5: Solve for x
    x = 61,646,306,904.54/254,539.80
  6. Step 6: Final answer
    x = 242,187.30

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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.