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Finding the Fourth Proportional to 201,176.20, 301,829.10 and 134,691.40

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Solution

The fourth proportional to 201,176.20, 301,829.10 and 134,691.40 is: 202,080.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,176.20 : 301,829.10 = 134,691.40 : x
  2. Step 2: Convert to fraction form
    201,176.20/301,829.10 = 134,691.40/x
  3. Step 3: Cross multiply
    201,176.20x = 301,829.10 × 134,691.40
  4. Step 4: Simplify right side
    201,176.20x = 40,653,784,039.74
  5. Step 5: Solve for x
    x = 40,653,784,039.74/201,176.20
  6. Step 6: Final answer
    x = 202,080.48

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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.