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Finding the Fourth Proportional to 108,527.60, 149,760.96 and 60,770

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Solution

The fourth proportional to 108,527.60, 149,760.96 and 60,770 is: 83,858.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,527.60 : 149,760.96 = 60,770 : x
  2. Step 2: Convert to fraction form
    108,527.60/149,760.96 = 60,770/x
  3. Step 3: Cross multiply
    108,527.60x = 149,760.96 × 60,770
  4. Step 4: Simplify right side
    108,527.60x = 9,100,973,539.20
  5. Step 5: Solve for x
    x = 9,100,973,539.20/108,527.60
  6. Step 6: Final answer
    x = 83,858.61

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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.