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Finding the Fourth Proportional to 133,008.30, 199,123.65 and 117,456.30

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Solution

The fourth proportional to 133,008.30, 199,123.65 and 117,456.30 is: 175,841.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,008.30 : 199,123.65 = 117,456.30 : x
  2. Step 2: Convert to fraction form
    133,008.30/199,123.65 = 117,456.30/x
  3. Step 3: Cross multiply
    133,008.30x = 199,123.65 × 117,456.30
  4. Step 4: Simplify right side
    133,008.30x = 23,388,327,171.50
  5. Step 5: Solve for x
    x = 23,388,327,171.50/133,008.30
  6. Step 6: Final answer
    x = 175,841.11

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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.