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Finding the Fourth Proportional to 146,004, 219,029.70 and 57,209.37

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Solution

The fourth proportional to 146,004, 219,029.70 and 57,209.37 is: 85,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,004 : 219,029.70 = 57,209.37 : x
  2. Step 2: Convert to fraction form
    146,004/219,029.70 = 57,209.37/x
  3. Step 3: Cross multiply
    146,004x = 219,029.70 × 57,209.37
  4. Step 4: Simplify right side
    146,004x = 12,530,551,148.29
  5. Step 5: Solve for x
    x = 12,530,551,148.29/146,004
  6. Step 6: Final answer
    x = 85,823.34

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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.