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Finding the Fourth Proportional to 219,974.40, 329,702.40 and 114,739.20

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Solution

The fourth proportional to 219,974.40, 329,702.40 and 114,739.20 is: 171,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,974.40 : 329,702.40 = 114,739.20 : x
  2. Step 2: Convert to fraction form
    219,974.40/329,702.40 = 114,739.20/x
  3. Step 3: Cross multiply
    219,974.40x = 329,702.40 × 114,739.20
  4. Step 4: Simplify right side
    219,974.40x = 37,829,789,614.08
  5. Step 5: Solve for x
    x = 37,829,789,614.08/219,974.40
  6. Step 6: Final answer
    x = 171,973.60

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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.