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Finding the Fourth Proportional to 164,800.86, 247,209.93 and 52,490.58

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Solution

The fourth proportional to 164,800.86, 247,209.93 and 52,490.58 is: 78,738.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,800.86 : 247,209.93 = 52,490.58 : x
  2. Step 2: Convert to fraction form
    164,800.86/247,209.93 = 52,490.58/x
  3. Step 3: Cross multiply
    164,800.86x = 247,209.93 × 52,490.58
  4. Step 4: Simplify right side
    164,800.86x = 12,976,192,607.46
  5. Step 5: Solve for x
    x = 12,976,192,607.46/164,800.86
  6. Step 6: Final answer
    x = 78,738.62

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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.