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Finding the Fourth Proportional to 129,051.13, 178,059.40 and 75,305.47

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Solution

The fourth proportional to 129,051.13, 178,059.40 and 75,305.47 is: 103,903.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,051.13 : 178,059.40 = 75,305.47 : x
  2. Step 2: Convert to fraction form
    129,051.13/178,059.40 = 75,305.47/x
  3. Step 3: Cross multiply
    129,051.13x = 178,059.40 × 75,305.47
  4. Step 4: Simplify right side
    129,051.13x = 13,408,847,262.82
  5. Step 5: Solve for x
    x = 13,408,847,262.82/129,051.13
  6. Step 6: Final answer
    x = 103,903.37

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