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Finding the Fourth Proportional to 200,135.70, 300,177.63 and 75,460.50

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Solution

The fourth proportional to 200,135.70, 300,177.63 and 75,460.50 is: 113,180.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,135.70 : 300,177.63 = 75,460.50 : x
  2. Step 2: Convert to fraction form
    200,135.70/300,177.63 = 75,460.50/x
  3. Step 3: Cross multiply
    200,135.70x = 300,177.63 × 75,460.50
  4. Step 4: Simplify right side
    200,135.70x = 22,651,554,048.62
  5. Step 5: Solve for x
    x = 22,651,554,048.62/200,135.70
  6. Step 6: Final answer
    x = 113,180.98

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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.