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Finding the Fourth Proportional to 214,969.40, 322,454.10 and 108,681.20

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Solution

The fourth proportional to 214,969.40, 322,454.10 and 108,681.20 is: 163,021.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,969.40 : 322,454.10 = 108,681.20 : x
  2. Step 2: Convert to fraction form
    214,969.40/322,454.10 = 108,681.20/x
  3. Step 3: Cross multiply
    214,969.40x = 322,454.10 × 108,681.20
  4. Step 4: Simplify right side
    214,969.40x = 35,044,698,532.92
  5. Step 5: Solve for x
    x = 35,044,698,532.92/214,969.40
  6. Step 6: Final answer
    x = 163,021.80

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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.