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Finding the Fourth Proportional to 218,814.84, 302,047.49 and 147,236.38

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Solution

The fourth proportional to 218,814.84, 302,047.49 and 147,236.38 is: 203,242.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,814.84 : 302,047.49 = 147,236.38 : x
  2. Step 2: Convert to fraction form
    218,814.84/302,047.49 = 147,236.38/x
  3. Step 3: Cross multiply
    218,814.84x = 302,047.49 × 147,236.38
  4. Step 4: Simplify right side
    218,814.84x = 44,472,378,628.66
  5. Step 5: Solve for x
    x = 44,472,378,628.66/218,814.84
  6. Step 6: Final answer
    x = 203,242.06

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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.