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Finding the Fourth Proportional to 108,000.64, 149,041.31 and 60,256

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Solution

The fourth proportional to 108,000.64, 149,041.31 and 60,256 is: 83,153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,000.64 : 149,041.31 = 60,256 : x
  2. Step 2: Convert to fraction form
    108,000.64/149,041.31 = 60,256/x
  3. Step 3: Cross multiply
    108,000.64x = 149,041.31 × 60,256
  4. Step 4: Simplify right side
    108,000.64x = 8,980,633,175.36
  5. Step 5: Solve for x
    x = 8,980,633,175.36/108,000.64
  6. Step 6: Final answer
    x = 83,153.52

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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.