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Finding the Fourth Proportional to 108,295.84, 149,467.62 and 65,283.04

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Solution

The fourth proportional to 108,295.84, 149,467.62 and 65,283.04 is: 90,102.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,295.84 : 149,467.62 = 65,283.04 : x
  2. Step 2: Convert to fraction form
    108,295.84/149,467.62 = 65,283.04/x
  3. Step 3: Cross multiply
    108,295.84x = 149,467.62 × 65,283.04
  4. Step 4: Simplify right side
    108,295.84x = 9,757,700,615.16
  5. Step 5: Solve for x
    x = 9,757,700,615.16/108,295.84
  6. Step 6: Final answer
    x = 90,102.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.