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Finding the Fourth Proportional to 272,019.60, 408,029.40 and 146,048.40

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Solution

The fourth proportional to 272,019.60, 408,029.40 and 146,048.40 is: 219,072.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,019.60 : 408,029.40 = 146,048.40 : x
  2. Step 2: Convert to fraction form
    272,019.60/408,029.40 = 146,048.40/x
  3. Step 3: Cross multiply
    272,019.60x = 408,029.40 × 146,048.40
  4. Step 4: Simplify right side
    272,019.60x = 59,592,041,022.96
  5. Step 5: Solve for x
    x = 59,592,041,022.96/272,019.60
  6. Step 6: Final answer
    x = 219,072.60

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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.