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Finding the Fourth Proportional to 215,846.64, 298,056.38 and 135,412.43

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Solution

The fourth proportional to 215,846.64, 298,056.38 and 135,412.43 is: 186,987.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,846.64 : 298,056.38 = 135,412.43 : x
  2. Step 2: Convert to fraction form
    215,846.64/298,056.38 = 135,412.43/x
  3. Step 3: Cross multiply
    215,846.64x = 298,056.38 × 135,412.43
  4. Step 4: Simplify right side
    215,846.64x = 40,360,536,525.46
  5. Step 5: Solve for x
    x = 40,360,536,525.46/215,846.64
  6. Step 6: Final answer
    x = 186,987.10

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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.