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Finding the Fourth Proportional to 283,523.10, 425,284.65 and 96,534.60

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Solution

The fourth proportional to 283,523.10, 425,284.65 and 96,534.60 is: 144,801.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,523.10 : 425,284.65 = 96,534.60 : x
  2. Step 2: Convert to fraction form
    283,523.10/425,284.65 = 96,534.60/x
  3. Step 3: Cross multiply
    283,523.10x = 425,284.65 × 96,534.60
  4. Step 4: Simplify right side
    283,523.10x = 41,054,683,573.89
  5. Step 5: Solve for x
    x = 41,054,683,573.89/283,523.10
  6. Step 6: Final answer
    x = 144,801.90

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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.