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Finding the Fourth Proportional to 173,677.20, 260,530.20 and 55,345.20

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Solution

The fourth proportional to 173,677.20, 260,530.20 and 55,345.20 is: 83,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,677.20 : 260,530.20 = 55,345.20 : x
  2. Step 2: Convert to fraction form
    173,677.20/260,530.20 = 55,345.20/x
  3. Step 3: Cross multiply
    173,677.20x = 260,530.20 × 55,345.20
  4. Step 4: Simplify right side
    173,677.20x = 14,419,096,025.04
  5. Step 5: Solve for x
    x = 14,419,096,025.04/173,677.20
  6. Step 6: Final answer
    x = 83,022.39

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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.