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Finding the Fourth Proportional to 133,506.84, 200,293.02 and 40,012.50

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Solution

The fourth proportional to 133,506.84, 200,293.02 and 40,012.50 is: 60,028.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,506.84 : 200,293.02 = 40,012.50 : x
  2. Step 2: Convert to fraction form
    133,506.84/200,293.02 = 40,012.50/x
  3. Step 3: Cross multiply
    133,506.84x = 200,293.02 × 40,012.50
  4. Step 4: Simplify right side
    133,506.84x = 8,014,224,462.75
  5. Step 5: Solve for x
    x = 8,014,224,462.75/133,506.84
  6. Step 6: Final answer
    x = 60,028.57

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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.