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Finding the Fourth Proportional to 133,013.94, 199,203.12 and 73,702.50

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Solution

The fourth proportional to 133,013.94, 199,203.12 and 73,702.50 is: 110,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,013.94 : 199,203.12 = 73,702.50 : x
  2. Step 2: Convert to fraction form
    133,013.94/199,203.12 = 73,702.50/x
  3. Step 3: Cross multiply
    133,013.94x = 199,203.12 × 73,702.50
  4. Step 4: Simplify right side
    133,013.94x = 14,681,767,951.80
  5. Step 5: Solve for x
    x = 14,681,767,951.80/133,013.94
  6. Step 6: Final answer
    x = 110,377.66

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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.