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Finding the Fourth Proportional to 283,511.16, 425,339.91 and 106,019.46

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Solution

The fourth proportional to 283,511.16, 425,339.91 and 106,019.46 is: 159,056.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,511.16 : 425,339.91 = 106,019.46 : x
  2. Step 2: Convert to fraction form
    283,511.16/425,339.91 = 106,019.46/x
  3. Step 3: Cross multiply
    283,511.16x = 425,339.91 × 106,019.46
  4. Step 4: Simplify right side
    283,511.16x = 45,094,307,574.65
  5. Step 5: Solve for x
    x = 45,094,307,574.65/283,511.16
  6. Step 6: Final answer
    x = 159,056.55

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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.