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Finding the Fourth Proportional to 218,806.84, 301,953.20 and 118,204.84

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Solution

The fourth proportional to 218,806.84, 301,953.20 and 118,204.84 is: 163,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,806.84 : 301,953.20 = 118,204.84 : x
  2. Step 2: Convert to fraction form
    218,806.84/301,953.20 = 118,204.84/x
  3. Step 3: Cross multiply
    218,806.84x = 301,953.20 × 118,204.84
  4. Step 4: Simplify right side
    218,806.84x = 35,692,329,693.49
  5. Step 5: Solve for x
    x = 35,692,329,693.49/218,806.84
  6. Step 6: Final answer
    x = 163,122.55

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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.