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Finding the Fourth Proportional to 283,930, 425,967 and 106,437.52

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Solution

The fourth proportional to 283,930, 425,967 and 106,437.52 is: 159,683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,930 : 425,967 = 106,437.52 : x
  2. Step 2: Convert to fraction form
    283,930/425,967 = 106,437.52/x
  3. Step 3: Cross multiply
    283,930x = 425,967 × 106,437.52
  4. Step 4: Simplify right side
    283,930x = 45,338,871,081.84
  5. Step 5: Solve for x
    x = 45,338,871,081.84/283,930
  6. Step 6: Final answer
    x = 159,683.27

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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.