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Finding the Fourth Proportional to 283,621.29, 425,505.74 and 106,142.01

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Solution

The fourth proportional to 283,621.29, 425,505.74 and 106,142.01 is: 159,240.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,621.29 : 425,505.74 = 106,142.01 : x
  2. Step 2: Convert to fraction form
    283,621.29/425,505.74 = 106,142.01/x
  3. Step 3: Cross multiply
    283,621.29x = 425,505.74 × 106,142.01
  4. Step 4: Simplify right side
    283,621.29x = 45,164,034,510.14
  5. Step 5: Solve for x
    x = 45,164,034,510.14/283,621.29
  6. Step 6: Final answer
    x = 159,240.64

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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.