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Finding the Fourth Proportional to 106,205.98, 159,308.94 and 43,878.10

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Solution

The fourth proportional to 106,205.98, 159,308.94 and 43,878.10 is: 65,817.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,205.98 : 159,308.94 = 43,878.10 : x
  2. Step 2: Convert to fraction form
    106,205.98/159,308.94 = 43,878.10/x
  3. Step 3: Cross multiply
    106,205.98x = 159,308.94 × 43,878.10
  4. Step 4: Simplify right side
    106,205.98x = 6,990,173,600.21
  5. Step 5: Solve for x
    x = 6,990,173,600.21/106,205.98
  6. Step 6: Final answer
    x = 65,817.14

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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.