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Finding the Fourth Proportional to 133,956.23, 200,934.32 and 40,461.98

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Solution

The fourth proportional to 133,956.23, 200,934.32 and 40,461.98 is: 60,692.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,956.23 : 200,934.32 = 40,461.98 : x
  2. Step 2: Convert to fraction form
    133,956.23/200,934.32 = 40,461.98/x
  3. Step 3: Cross multiply
    133,956.23x = 200,934.32 × 40,461.98
  4. Step 4: Simplify right side
    133,956.23x = 8,130,199,230.17
  5. Step 5: Solve for x
    x = 8,130,199,230.17/133,956.23
  6. Step 6: Final answer
    x = 60,692.96

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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.