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Finding the Fourth Proportional to 284,573.62, 426,877.13 and 107,082.17

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Solution

The fourth proportional to 284,573.62, 426,877.13 and 107,082.17 is: 160,629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,573.62 : 426,877.13 = 107,082.17 : x
  2. Step 2: Convert to fraction form
    284,573.62/426,877.13 = 107,082.17/x
  3. Step 3: Cross multiply
    284,573.62x = 426,877.13 × 107,082.17
  4. Step 4: Simplify right side
    284,573.62x = 45,710,927,537.09
  5. Step 5: Solve for x
    x = 45,710,927,537.09/284,573.62
  6. Step 6: Final answer
    x = 160,629.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.