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Finding the Fourth Proportional to 320,172.20, 480,527.72 and 160,200.14

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Solution

The fourth proportional to 320,172.20, 480,527.72 and 160,200.14 is: 240,435.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,172.20 : 480,527.72 = 160,200.14 : x
  2. Step 2: Convert to fraction form
    320,172.20/480,527.72 = 160,200.14/x
  3. Step 3: Cross multiply
    320,172.20x = 480,527.72 × 160,200.14
  4. Step 4: Simplify right side
    320,172.20x = 76,980,604,814.24
  5. Step 5: Solve for x
    x = 76,980,604,814.24/320,172.20
  6. Step 6: Final answer
    x = 240,435.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.