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Finding the Fourth Proportional to 146,443.40, 219,581.02 and 57,648.46

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Solution

The fourth proportional to 146,443.40, 219,581.02 and 57,648.46 is: 86,439.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,443.40 : 219,581.02 = 57,648.46 : x
  2. Step 2: Convert to fraction form
    146,443.40/219,581.02 = 57,648.46/x
  3. Step 3: Cross multiply
    146,443.40x = 219,581.02 × 57,648.46
  4. Step 4: Simplify right side
    146,443.40x = 12,658,507,648.23
  5. Step 5: Solve for x
    x = 12,658,507,648.23/146,443.40
  6. Step 6: Final answer
    x = 86,439.59

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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.