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Finding the Fourth Proportional to 283,905, 425,929.50 and 106,412.52

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Solution

The fourth proportional to 283,905, 425,929.50 and 106,412.52 is: 159,645.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,905 : 425,929.50 = 106,412.52 : x
  2. Step 2: Convert to fraction form
    283,905/425,929.50 = 106,412.52/x
  3. Step 3: Cross multiply
    283,905x = 425,929.50 × 106,412.52
  4. Step 4: Simplify right side
    283,905x = 45,324,231,437.34
  5. Step 5: Solve for x
    x = 45,324,231,437.34/283,905
  6. Step 6: Final answer
    x = 159,645.77

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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.