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Finding the Fourth Proportional to 459,082.52, 688,676.17 and 122,136.90

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Solution

The fourth proportional to 459,082.52, 688,676.17 and 122,136.90 is: 183,219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,082.52 : 688,676.17 = 122,136.90 : x
  2. Step 2: Convert to fraction form
    459,082.52/688,676.17 = 122,136.90/x
  3. Step 3: Cross multiply
    459,082.52x = 688,676.17 × 122,136.90
  4. Step 4: Simplify right side
    459,082.52x = 84,112,772,507.67
  5. Step 5: Solve for x
    x = 84,112,772,507.67/459,082.52
  6. Step 6: Final answer
    x = 183,219.29

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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.