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Finding the Fourth Proportional to 202,865.84, 302,812.42 and 178,924.76

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Solution

The fourth proportional to 202,865.84, 302,812.42 and 178,924.76 is: 267,076.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,865.84 : 302,812.42 = 178,924.76 : x
  2. Step 2: Convert to fraction form
    202,865.84/302,812.42 = 178,924.76/x
  3. Step 3: Cross multiply
    202,865.84x = 302,812.42 × 178,924.76
  4. Step 4: Simplify right side
    202,865.84x = 54,180,639,573.52
  5. Step 5: Solve for x
    x = 54,180,639,573.52/202,865.84
  6. Step 6: Final answer
    x = 267,076.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.