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Finding the Fourth Proportional to 138,847.80, 208,271.70 and 133,404.60

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Solution

The fourth proportional to 138,847.80, 208,271.70 and 133,404.60 is: 200,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,847.80 : 208,271.70 = 133,404.60 : x
  2. Step 2: Convert to fraction form
    138,847.80/208,271.70 = 133,404.60/x
  3. Step 3: Cross multiply
    138,847.80x = 208,271.70 × 133,404.60
  4. Step 4: Simplify right side
    138,847.80x = 27,784,402,829.82
  5. Step 5: Solve for x
    x = 27,784,402,829.82/138,847.80
  6. Step 6: Final answer
    x = 200,106.90

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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.