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Finding the Fourth Proportional to 272,048.40, 408,072.60 and 147,632.40

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Solution

The fourth proportional to 272,048.40, 408,072.60 and 147,632.40 is: 221,448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,048.40 : 408,072.60 = 147,632.40 : x
  2. Step 2: Convert to fraction form
    272,048.40/408,072.60 = 147,632.40/x
  3. Step 3: Cross multiply
    272,048.40x = 408,072.60 × 147,632.40
  4. Step 4: Simplify right side
    272,048.40x = 60,244,737,312.24
  5. Step 5: Solve for x
    x = 60,244,737,312.24/272,048.40
  6. Step 6: Final answer
    x = 221,448.60

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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.