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Finding the Fourth Proportional to 133,711.40, 200,567.10 and 114,028.40

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Solution

The fourth proportional to 133,711.40, 200,567.10 and 114,028.40 is: 171,042.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,711.40 : 200,567.10 = 114,028.40 : x
  2. Step 2: Convert to fraction form
    133,711.40/200,567.10 = 114,028.40/x
  3. Step 3: Cross multiply
    133,711.40x = 200,567.10 × 114,028.40
  4. Step 4: Simplify right side
    133,711.40x = 22,870,345,505.64
  5. Step 5: Solve for x
    x = 22,870,345,505.64/133,711.40
  6. Step 6: Final answer
    x = 171,042.60

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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.