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Finding the Fourth Proportional to 241,838.40, 362,757.60 and 152,803.20

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Solution

The fourth proportional to 241,838.40, 362,757.60 and 152,803.20 is: 229,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,838.40 : 362,757.60 = 152,803.20 : x
  2. Step 2: Convert to fraction form
    241,838.40/362,757.60 = 152,803.20/x
  3. Step 3: Cross multiply
    241,838.40x = 362,757.60 × 152,803.20
  4. Step 4: Simplify right side
    241,838.40x = 55,430,522,104.32
  5. Step 5: Solve for x
    x = 55,430,522,104.32/241,838.40
  6. Step 6: Final answer
    x = 229,204.80

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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.