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Finding the Fourth Proportional to 218,711.24, 301,814.12 and 133,828.30

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Solution

The fourth proportional to 218,711.24, 301,814.12 and 133,828.30 is: 184,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,711.24 : 301,814.12 = 133,828.30 : x
  2. Step 2: Convert to fraction form
    218,711.24/301,814.12 = 133,828.30/x
  3. Step 3: Cross multiply
    218,711.24x = 301,814.12 × 133,828.30
  4. Step 4: Simplify right side
    218,711.24x = 40,391,270,595.60
  5. Step 5: Solve for x
    x = 40,391,270,595.60/218,711.24
  6. Step 6: Final answer
    x = 184,678.53

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