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Finding the Fourth Proportional to 221,489.76, 305,656 and 136,656.02

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Solution

The fourth proportional to 221,489.76, 305,656 and 136,656.02 is: 188,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,489.76 : 305,656 = 136,656.02 : x
  2. Step 2: Convert to fraction form
    221,489.76/305,656 = 136,656.02/x
  3. Step 3: Cross multiply
    221,489.76x = 305,656 × 136,656.02
  4. Step 4: Simplify right side
    221,489.76x = 41,769,732,449.12
  5. Step 5: Solve for x
    x = 41,769,732,449.12/221,489.76
  6. Step 6: Final answer
    x = 188,585.39

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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.