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Finding the Fourth Proportional to 153,896.40, 230,844.60 and 87,541.20

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Solution

The fourth proportional to 153,896.40, 230,844.60 and 87,541.20 is: 131,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,896.40 : 230,844.60 = 87,541.20 : x
  2. Step 2: Convert to fraction form
    153,896.40/230,844.60 = 87,541.20/x
  3. Step 3: Cross multiply
    153,896.40x = 230,844.60 × 87,541.20
  4. Step 4: Simplify right side
    153,896.40x = 20,208,413,297.52
  5. Step 5: Solve for x
    x = 20,208,413,297.52/153,896.40
  6. Step 6: Final answer
    x = 131,311.80

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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.