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Finding the Fourth Proportional to 283,647.60, 425,442.60 and 96,656.40

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Solution

The fourth proportional to 283,647.60, 425,442.60 and 96,656.40 is: 144,974.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,647.60 : 425,442.60 = 96,656.40 : x
  2. Step 2: Convert to fraction form
    283,647.60/425,442.60 = 96,656.40/x
  3. Step 3: Cross multiply
    283,647.60x = 425,442.60 × 96,656.40
  4. Step 4: Simplify right side
    283,647.60x = 41,121,750,122.64
  5. Step 5: Solve for x
    x = 41,121,750,122.64/283,647.60
  6. Step 6: Final answer
    x = 144,974.79

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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.