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Finding the Fourth Proportional to 219,342.40, 328,430.40 and 140,027.20

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Solution

The fourth proportional to 219,342.40, 328,430.40 and 140,027.20 is: 209,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,342.40 : 328,430.40 = 140,027.20 : x
  2. Step 2: Convert to fraction form
    219,342.40/328,430.40 = 140,027.20/x
  3. Step 3: Cross multiply
    219,342.40x = 328,430.40 × 140,027.20
  4. Step 4: Simplify right side
    219,342.40x = 45,989,189,306.88
  5. Step 5: Solve for x
    x = 45,989,189,306.88/219,342.40
  6. Step 6: Final answer
    x = 209,668.49

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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.