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Finding the Fourth Proportional to 135,596, 203,129.22 and 64,417.32

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Solution

The fourth proportional to 135,596, 203,129.22 and 64,417.32 is: 96,500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,596 : 203,129.22 = 64,417.32 : x
  2. Step 2: Convert to fraction form
    135,596/203,129.22 = 64,417.32/x
  3. Step 3: Cross multiply
    135,596x = 203,129.22 × 64,417.32
  4. Step 4: Simplify right side
    135,596x = 13,085,039,966.09
  5. Step 5: Solve for x
    x = 13,085,039,966.09/135,596
  6. Step 6: Final answer
    x = 96,500.19

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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.