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Finding the Fourth Proportional to 272,548.16, 408,977.76 and 106,297.28

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Solution

The fourth proportional to 272,548.16, 408,977.76 and 106,297.28 is: 159,506.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,548.16 : 408,977.76 = 106,297.28 : x
  2. Step 2: Convert to fraction form
    272,548.16/408,977.76 = 106,297.28/x
  3. Step 3: Cross multiply
    272,548.16x = 408,977.76 × 106,297.28
  4. Step 4: Simplify right side
    272,548.16x = 43,473,223,468.49
  5. Step 5: Solve for x
    x = 43,473,223,468.49/272,548.16
  6. Step 6: Final answer
    x = 159,506.57

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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.