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Finding the Fourth Proportional to 129,101.36, 178,107.86 and 78,025.42

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Solution

The fourth proportional to 129,101.36, 178,107.86 and 78,025.42 is: 107,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,101.36 : 178,107.86 = 78,025.42 : x
  2. Step 2: Convert to fraction form
    129,101.36/178,107.86 = 78,025.42/x
  3. Step 3: Cross multiply
    129,101.36x = 178,107.86 × 78,025.42
  4. Step 4: Simplify right side
    129,101.36x = 13,896,939,746.40
  5. Step 5: Solve for x
    x = 13,896,939,746.40/129,101.36
  6. Step 6: Final answer
    x = 107,643.64

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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.