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Finding the Fourth Proportional to 284,890.38, 393,124.23 and 157,534.08

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Solution

The fourth proportional to 284,890.38, 393,124.23 and 157,534.08 is: 217,383.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,890.38 : 393,124.23 = 157,534.08 : x
  2. Step 2: Convert to fraction form
    284,890.38/393,124.23 = 157,534.08/x
  3. Step 3: Cross multiply
    284,890.38x = 393,124.23 × 157,534.08
  4. Step 4: Simplify right side
    284,890.38x = 61,930,463,898.76
  5. Step 5: Solve for x
    x = 61,930,463,898.76/284,890.38
  6. Step 6: Final answer
    x = 217,383.49

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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.