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Finding the Fourth Proportional to 284,895.34, 393,167.46 and 164,033.62

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Solution

The fourth proportional to 284,895.34, 393,167.46 and 164,033.62 is: 226,373.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,895.34 : 393,167.46 = 164,033.62 : x
  2. Step 2: Convert to fraction form
    284,895.34/393,167.46 = 164,033.62/x
  3. Step 3: Cross multiply
    284,895.34x = 393,167.46 × 164,033.62
  4. Step 4: Simplify right side
    284,895.34x = 64,492,681,730.01
  5. Step 5: Solve for x
    x = 64,492,681,730.01/284,895.34
  6. Step 6: Final answer
    x = 226,373.24

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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.