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Finding the Fourth Proportional to 283,598.92, 425,406.63 and 106,072.06

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Solution

The fourth proportional to 283,598.92, 425,406.63 and 106,072.06 is: 159,111.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,598.92 : 425,406.63 = 106,072.06 : x
  2. Step 2: Convert to fraction form
    283,598.92/425,406.63 = 106,072.06/x
  3. Step 3: Cross multiply
    283,598.92x = 425,406.63 × 106,072.06
  4. Step 4: Simplify right side
    283,598.92x = 45,123,757,581.76
  5. Step 5: Solve for x
    x = 45,123,757,581.76/283,598.92
  6. Step 6: Final answer
    x = 159,111.18

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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.