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Finding the Fourth Proportional to 201,509.60, 302,497.20 and 108,197.60

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Solution

The fourth proportional to 201,509.60, 302,497.20 and 108,197.60 is: 162,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,509.60 : 302,497.20 = 108,197.60 : x
  2. Step 2: Convert to fraction form
    201,509.60/302,497.20 = 108,197.60/x
  3. Step 3: Cross multiply
    201,509.60x = 302,497.20 × 108,197.60
  4. Step 4: Simplify right side
    201,509.60x = 32,729,471,046.72
  5. Step 5: Solve for x
    x = 32,729,471,046.72/201,509.60
  6. Step 6: Final answer
    x = 162,421.40

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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.