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Finding the Fourth Proportional to 283,102.50, 424,719.36 and 96,114

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Solution

The fourth proportional to 283,102.50, 424,719.36 and 96,114 is: 144,193.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,102.50 : 424,719.36 = 96,114 : x
  2. Step 2: Convert to fraction form
    283,102.50/424,719.36 = 96,114/x
  3. Step 3: Cross multiply
    283,102.50x = 424,719.36 × 96,114
  4. Step 4: Simplify right side
    283,102.50x = 40,821,476,567.04
  5. Step 5: Solve for x
    x = 40,821,476,567.04/283,102.50
  6. Step 6: Final answer
    x = 144,193.27

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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.