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Finding the Fourth Proportional to 133,451.64, 200,256.42 and 49,270.50

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Solution

The fourth proportional to 133,451.64, 200,256.42 and 49,270.50 is: 73,934.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,451.64 : 200,256.42 = 49,270.50 : x
  2. Step 2: Convert to fraction form
    133,451.64/200,256.42 = 49,270.50/x
  3. Step 3: Cross multiply
    133,451.64x = 200,256.42 × 49,270.50
  4. Step 4: Simplify right side
    133,451.64x = 9,866,733,941.61
  5. Step 5: Solve for x
    x = 9,866,733,941.61/133,451.64
  6. Step 6: Final answer
    x = 73,934.90

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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.