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Finding the Fourth Proportional to 283,705.44, 425,447.44 and 123,830.27

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Solution

The fourth proportional to 283,705.44, 425,447.44 and 123,830.27 is: 185,697.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,705.44 : 425,447.44 = 123,830.27 : x
  2. Step 2: Convert to fraction form
    283,705.44/425,447.44 = 123,830.27/x
  3. Step 3: Cross multiply
    283,705.44x = 425,447.44 × 123,830.27
  4. Step 4: Simplify right side
    283,705.44x = 52,683,270,746.86
  5. Step 5: Solve for x
    x = 52,683,270,746.86/283,705.44
  6. Step 6: Final answer
    x = 185,697.08

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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.