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Finding the Fourth Proportional to 301,135.20, 451,702.80 and 101,389.20

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Solution

The fourth proportional to 301,135.20, 451,702.80 and 101,389.20 is: 152,083.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,135.20 : 451,702.80 = 101,389.20 : x
  2. Step 2: Convert to fraction form
    301,135.20/451,702.80 = 101,389.20/x
  3. Step 3: Cross multiply
    301,135.20x = 451,702.80 × 101,389.20
  4. Step 4: Simplify right side
    301,135.20x = 45,797,785,529.76
  5. Step 5: Solve for x
    x = 45,797,785,529.76/301,135.20
  6. Step 6: Final answer
    x = 152,083.80

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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.