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Finding the Fourth Proportional to 173,896.60, 260,780.10 and 121,149.40

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Solution

The fourth proportional to 173,896.60, 260,780.10 and 121,149.40 is: 181,678.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,896.60 : 260,780.10 = 121,149.40 : x
  2. Step 2: Convert to fraction form
    173,896.60/260,780.10 = 121,149.40/x
  3. Step 3: Cross multiply
    173,896.60x = 260,780.10 × 121,149.40
  4. Step 4: Simplify right side
    173,896.60x = 31,593,352,646.94
  5. Step 5: Solve for x
    x = 31,593,352,646.94/173,896.60
  6. Step 6: Final answer
    x = 181,678.96

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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.