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Finding the Fourth Proportional to 283,894.26, 425,824.59 and 106,386.42

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Solution

The fourth proportional to 283,894.26, 425,824.59 and 106,386.42 is: 159,573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,894.26 : 425,824.59 = 106,386.42 : x
  2. Step 2: Convert to fraction form
    283,894.26/425,824.59 = 106,386.42/x
  3. Step 3: Cross multiply
    283,894.26x = 425,824.59 × 106,386.42
  4. Step 4: Simplify right side
    283,894.26x = 45,301,953,678.07
  5. Step 5: Solve for x
    x = 45,301,953,678.07/283,894.26
  6. Step 6: Final answer
    x = 159,573.33

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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.