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Finding the Fourth Proportional to 283,595.92, 425,402.13 and 106,069.06

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Solution

The fourth proportional to 283,595.92, 425,402.13 and 106,069.06 is: 159,106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,595.92 : 425,402.13 = 106,069.06 : x
  2. Step 2: Convert to fraction form
    283,595.92/425,402.13 = 106,069.06/x
  3. Step 3: Cross multiply
    283,595.92x = 425,402.13 × 106,069.06
  4. Step 4: Simplify right side
    283,595.92x = 45,122,004,051.10
  5. Step 5: Solve for x
    x = 45,122,004,051.10/283,595.92
  6. Step 6: Final answer
    x = 159,106.68

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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.