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Finding the Fourth Proportional to 115,903.90, 173,855.85 and 82,442.80

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Solution

The fourth proportional to 115,903.90, 173,855.85 and 82,442.80 is: 123,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,903.90 : 173,855.85 = 82,442.80 : x
  2. Step 2: Convert to fraction form
    115,903.90/173,855.85 = 82,442.80/x
  3. Step 3: Cross multiply
    115,903.90x = 173,855.85 × 82,442.80
  4. Step 4: Simplify right side
    115,903.90x = 14,333,163,070.38
  5. Step 5: Solve for x
    x = 14,333,163,070.38/115,903.90
  6. Step 6: Final answer
    x = 123,664.20

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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.