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Finding the Fourth Proportional to 133,945.34, 200,927.72 and 40,458.38

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Solution

The fourth proportional to 133,945.34, 200,927.72 and 40,458.38 is: 60,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,945.34 : 200,927.72 = 40,458.38 : x
  2. Step 2: Convert to fraction form
    133,945.34/200,927.72 = 40,458.38/x
  3. Step 3: Cross multiply
    133,945.34x = 200,927.72 × 40,458.38
  4. Step 4: Simplify right side
    133,945.34x = 8,129,208,841.36
  5. Step 5: Solve for x
    x = 8,129,208,841.36/133,945.34
  6. Step 6: Final answer
    x = 60,690.50

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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.