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Finding the Fourth Proportional to 283,638.60, 425,429.10 and 96,647.40

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Solution

The fourth proportional to 283,638.60, 425,429.10 and 96,647.40 is: 144,961.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,638.60 : 425,429.10 = 96,647.40 : x
  2. Step 2: Convert to fraction form
    283,638.60/425,429.10 = 96,647.40/x
  3. Step 3: Cross multiply
    283,638.60x = 425,429.10 × 96,647.40
  4. Step 4: Simplify right side
    283,638.60x = 41,116,616,399.34
  5. Step 5: Solve for x
    x = 41,116,616,399.34/283,638.60
  6. Step 6: Final answer
    x = 144,961.29

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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.