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Finding the Fourth Proportional to 221,490.76, 305,657.38 and 136,657.02

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Solution

The fourth proportional to 221,490.76, 305,657.38 and 136,657.02 is: 188,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,490.76 : 305,657.38 = 136,657.02 : x
  2. Step 2: Convert to fraction form
    221,490.76/305,657.38 = 136,657.02/x
  3. Step 3: Cross multiply
    221,490.76x = 305,657.38 × 136,657.02
  4. Step 4: Simplify right side
    221,490.76x = 41,770,226,691.81
  5. Step 5: Solve for x
    x = 41,770,226,691.81/221,490.76
  6. Step 6: Final answer
    x = 188,586.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.