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Finding the Fourth Proportional to 199,561.84, 275,397.88 and 117,892.76

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Solution

The fourth proportional to 199,561.84, 275,397.88 and 117,892.76 is: 162,693.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,561.84 : 275,397.88 = 117,892.76 : x
  2. Step 2: Convert to fraction form
    199,561.84/275,397.88 = 117,892.76/x
  3. Step 3: Cross multiply
    199,561.84x = 275,397.88 × 117,892.76
  4. Step 4: Simplify right side
    199,561.84x = 32,467,416,171.35
  5. Step 5: Solve for x
    x = 32,467,416,171.35/199,561.84
  6. Step 6: Final answer
    x = 162,693.51

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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.