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Finding the Fourth Proportional to 202,191.84, 279,080.16 and 117,336

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Solution

The fourth proportional to 202,191.84, 279,080.16 and 117,336 is: 161,955.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,191.84 : 279,080.16 = 117,336 : x
  2. Step 2: Convert to fraction form
    202,191.84/279,080.16 = 117,336/x
  3. Step 3: Cross multiply
    202,191.84x = 279,080.16 × 117,336
  4. Step 4: Simplify right side
    202,191.84x = 32,746,149,653.76
  5. Step 5: Solve for x
    x = 32,746,149,653.76/202,191.84
  6. Step 6: Final answer
    x = 161,955.84

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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.