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Finding the Fourth Proportional to 219,543, 303,002.03 and 133,515.98

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Solution

The fourth proportional to 219,543, 303,002.03 and 133,515.98 is: 184,271.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,543 : 303,002.03 = 133,515.98 : x
  2. Step 2: Convert to fraction form
    219,543/303,002.03 = 133,515.98/x
  3. Step 3: Cross multiply
    219,543x = 303,002.03 × 133,515.98
  4. Step 4: Simplify right side
    219,543x = 40,455,612,977.44
  5. Step 5: Solve for x
    x = 40,455,612,977.44/219,543
  6. Step 6: Final answer
    x = 184,271.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.