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Finding the Fourth Proportional to 135,973.64, 203,664.70 and 65,705

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Solution

The fourth proportional to 135,973.64, 203,664.70 and 65,705 is: 98,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,973.64 : 203,664.70 = 65,705 : x
  2. Step 2: Convert to fraction form
    135,973.64/203,664.70 = 65,705/x
  3. Step 3: Cross multiply
    135,973.64x = 203,664.70 × 65,705
  4. Step 4: Simplify right side
    135,973.64x = 13,381,789,113.50
  5. Step 5: Solve for x
    x = 13,381,789,113.50/135,973.64
  6. Step 6: Final answer
    x = 98,414.58

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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.