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Finding the Fourth Proportional to 133,702.48, 200,538.06 and 53,737.30

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Solution

The fourth proportional to 133,702.48, 200,538.06 and 53,737.30 is: 80,599.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,702.48 : 200,538.06 = 53,737.30 : x
  2. Step 2: Convert to fraction form
    133,702.48/200,538.06 = 53,737.30/x
  3. Step 3: Cross multiply
    133,702.48x = 200,538.06 × 53,737.30
  4. Step 4: Simplify right side
    133,702.48x = 10,776,373,891.64
  5. Step 5: Solve for x
    x = 10,776,373,891.64/133,702.48
  6. Step 6: Final answer
    x = 80,599.66

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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.