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Finding the Fourth Proportional to 154,032.71, 230,858.24 and 87,270.48

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Solution

The fourth proportional to 154,032.71, 230,858.24 and 87,270.48 is: 130,797.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,032.71 : 230,858.24 = 87,270.48 : x
  2. Step 2: Convert to fraction form
    154,032.71/230,858.24 = 87,270.48/x
  3. Step 3: Cross multiply
    154,032.71x = 230,858.24 × 87,270.48
  4. Step 4: Simplify right side
    154,032.71x = 20,147,108,980.40
  5. Step 5: Solve for x
    x = 20,147,108,980.40/154,032.71
  6. Step 6: Final answer
    x = 130,797.61

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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.