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Finding the Fourth Proportional to 135,585.84, 203,365.80 and 82,968.24

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Solution

The fourth proportional to 135,585.84, 203,365.80 and 82,968.24 is: 124,444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,585.84 : 203,365.80 = 82,968.24 : x
  2. Step 2: Convert to fraction form
    135,585.84/203,365.80 = 82,968.24/x
  3. Step 3: Cross multiply
    135,585.84x = 203,365.80 × 82,968.24
  4. Step 4: Simplify right side
    135,585.84x = 16,872,902,502.19
  5. Step 5: Solve for x
    x = 16,872,902,502.19/135,585.84
  6. Step 6: Final answer
    x = 124,444.43

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1.5x scale

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.