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Finding the Fourth Proportional to 218,715.38, 301,827.23 and 118,113.38

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Solution

The fourth proportional to 218,715.38, 301,827.23 and 118,113.38 is: 162,996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,715.38 : 301,827.23 = 118,113.38 : x
  2. Step 2: Convert to fraction form
    218,715.38/301,827.23 = 118,113.38/x
  3. Step 3: Cross multiply
    218,715.38x = 301,827.23 × 118,113.38
  4. Step 4: Simplify right side
    218,715.38x = 35,649,832,211.63
  5. Step 5: Solve for x
    x = 35,649,832,211.63/218,715.38
  6. Step 6: Final answer
    x = 162,996.46

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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.