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Finding the Fourth Proportional to 241,333.40, 362,000.10 and 152,978.60

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Solution

The fourth proportional to 241,333.40, 362,000.10 and 152,978.60 is: 229,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,333.40 : 362,000.10 = 152,978.60 : x
  2. Step 2: Convert to fraction form
    241,333.40/362,000.10 = 152,978.60/x
  3. Step 3: Cross multiply
    241,333.40x = 362,000.10 × 152,978.60
  4. Step 4: Simplify right side
    241,333.40x = 55,378,268,497.86
  5. Step 5: Solve for x
    x = 55,378,268,497.86/241,333.40
  6. Step 6: Final answer
    x = 229,467.90

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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.