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Finding the Fourth Proportional to 173,853.70, 260,780.55 and 102,703.30

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Solution

The fourth proportional to 173,853.70, 260,780.55 and 102,703.30 is: 154,054.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,853.70 : 260,780.55 = 102,703.30 : x
  2. Step 2: Convert to fraction form
    173,853.70/260,780.55 = 102,703.30/x
  3. Step 3: Cross multiply
    173,853.70x = 260,780.55 × 102,703.30
  4. Step 4: Simplify right side
    173,853.70x = 26,783,023,060.82
  5. Step 5: Solve for x
    x = 26,783,023,060.82/173,853.70
  6. Step 6: Final answer
    x = 154,054.95

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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.