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Finding the Fourth Proportional to 284,894.34, 393,166.08 and 164,032.62

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Solution

The fourth proportional to 284,894.34, 393,166.08 and 164,032.62 is: 226,371.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,894.34 : 393,166.08 = 164,032.62 : x
  2. Step 2: Convert to fraction form
    284,894.34/393,166.08 = 164,032.62/x
  3. Step 3: Cross multiply
    284,894.34x = 393,166.08 × 164,032.62
  4. Step 4: Simplify right side
    284,894.34x = 64,492,062,197.53
  5. Step 5: Solve for x
    x = 64,492,062,197.53/284,894.34
  6. Step 6: Final answer
    x = 226,371.86

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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.