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Finding the Fourth Proportional to 241,858.24, 362,184 and 152,843.20

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Solution

The fourth proportional to 241,858.24, 362,184 and 152,843.20 is: 228,883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,858.24 : 362,184 = 152,843.20 : x
  2. Step 2: Convert to fraction form
    241,858.24/362,184 = 152,843.20/x
  3. Step 3: Cross multiply
    241,858.24x = 362,184 × 152,843.20
  4. Step 4: Simplify right side
    241,858.24x = 55,357,361,548.80
  5. Step 5: Solve for x
    x = 55,357,361,548.80/241,858.24
  6. Step 6: Final answer
    x = 228,883.50

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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.