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Finding the Fourth Proportional to 272,110.40, 408,165.60 and 147,694.40

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Solution

The fourth proportional to 272,110.40, 408,165.60 and 147,694.40 is: 221,541.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,110.40 : 408,165.60 = 147,694.40 : x
  2. Step 2: Convert to fraction form
    272,110.40/408,165.60 = 147,694.40/x
  3. Step 3: Cross multiply
    272,110.40x = 408,165.60 × 147,694.40
  4. Step 4: Simplify right side
    272,110.40x = 60,283,773,392.64
  5. Step 5: Solve for x
    x = 60,283,773,392.64/272,110.40
  6. Step 6: Final answer
    x = 221,541.60

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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.