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Finding the Fourth Proportional to 122,026.31, 182,969.38 and 65,030.04

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Solution

The fourth proportional to 122,026.31, 182,969.38 and 65,030.04 is: 97,507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,026.31 : 182,969.38 = 65,030.04 : x
  2. Step 2: Convert to fraction form
    122,026.31/182,969.38 = 65,030.04/x
  3. Step 3: Cross multiply
    122,026.31x = 182,969.38 × 65,030.04
  4. Step 4: Simplify right side
    122,026.31x = 11,898,505,129.53
  5. Step 5: Solve for x
    x = 11,898,505,129.53/122,026.31
  6. Step 6: Final answer
    x = 97,507.71

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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.