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Finding the Fourth Proportional to 241,405.60, 362,108.40 and 157,847.20

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Solution

The fourth proportional to 241,405.60, 362,108.40 and 157,847.20 is: 236,770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,405.60 : 362,108.40 = 157,847.20 : x
  2. Step 2: Convert to fraction form
    241,405.60/362,108.40 = 157,847.20/x
  3. Step 3: Cross multiply
    241,405.60x = 362,108.40 × 157,847.20
  4. Step 4: Simplify right side
    241,405.60x = 57,157,797,036.48
  5. Step 5: Solve for x
    x = 57,157,797,036.48/241,405.60
  6. Step 6: Final answer
    x = 236,770.80

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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.