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Finding the Fourth Proportional to 321,202.40, 481,803.60 and 144,055.40

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Solution

The fourth proportional to 321,202.40, 481,803.60 and 144,055.40 is: 216,083.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,202.40 : 481,803.60 = 144,055.40 : x
  2. Step 2: Convert to fraction form
    321,202.40/481,803.60 = 144,055.40/x
  3. Step 3: Cross multiply
    321,202.40x = 481,803.60 × 144,055.40
  4. Step 4: Simplify right side
    321,202.40x = 69,406,410,319.44
  5. Step 5: Solve for x
    x = 69,406,410,319.44/321,202.40
  6. Step 6: Final answer
    x = 216,083.10

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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.