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Finding the Fourth Proportional to 173,406.30, 260,109.45 and 131,415.90

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Solution

The fourth proportional to 173,406.30, 260,109.45 and 131,415.90 is: 197,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,406.30 : 260,109.45 = 131,415.90 : x
  2. Step 2: Convert to fraction form
    173,406.30/260,109.45 = 131,415.90/x
  3. Step 3: Cross multiply
    173,406.30x = 260,109.45 × 131,415.90
  4. Step 4: Simplify right side
    173,406.30x = 34,182,517,470.26
  5. Step 5: Solve for x
    x = 34,182,517,470.26/173,406.30
  6. Step 6: Final answer
    x = 197,123.85

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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.