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Finding the Fourth Proportional to 283,878.60, 425,456.10 and 150,822.60

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Solution

The fourth proportional to 283,878.60, 425,456.10 and 150,822.60 is: 226,041.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,878.60 : 425,456.10 = 150,822.60 : x
  2. Step 2: Convert to fraction form
    283,878.60/425,456.10 = 150,822.60/x
  3. Step 3: Cross multiply
    283,878.60x = 425,456.10 × 150,822.60
  4. Step 4: Simplify right side
    283,878.60x = 64,168,395,187.86
  5. Step 5: Solve for x
    x = 64,168,395,187.86/283,878.60
  6. Step 6: Final answer
    x = 226,041.68

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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.