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Finding the Fourth Proportional to 303,964.40, 456,205.80 and 135,743.60

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Solution

The fourth proportional to 303,964.40, 456,205.80 and 135,743.60 is: 203,731.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,964.40 : 456,205.80 = 135,743.60 : x
  2. Step 2: Convert to fraction form
    303,964.40/456,205.80 = 135,743.60/x
  3. Step 3: Cross multiply
    303,964.40x = 456,205.80 × 135,743.60
  4. Step 4: Simplify right side
    303,964.40x = 61,927,017,632.88
  5. Step 5: Solve for x
    x = 61,927,017,632.88/303,964.40
  6. Step 6: Final answer
    x = 203,731.15

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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.