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Finding the Fourth Proportional to 133,784.42, 200,706.21 and 45,035

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Solution

The fourth proportional to 133,784.42, 200,706.21 and 45,035 is: 67,562.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,784.42 : 200,706.21 = 45,035 : x
  2. Step 2: Convert to fraction form
    133,784.42/200,706.21 = 45,035/x
  3. Step 3: Cross multiply
    133,784.42x = 200,706.21 × 45,035
  4. Step 4: Simplify right side
    133,784.42x = 9,038,804,167.35
  5. Step 5: Solve for x
    x = 9,038,804,167.35/133,784.42
  6. Step 6: Final answer
    x = 67,562.46

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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.