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Finding the Fourth Proportional to 129,106.45, 178,162.16 and 71,749.34

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Solution

The fourth proportional to 129,106.45, 178,162.16 and 71,749.34 is: 99,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,106.45 : 178,162.16 = 71,749.34 : x
  2. Step 2: Convert to fraction form
    129,106.45/178,162.16 = 71,749.34/x
  3. Step 3: Cross multiply
    129,106.45x = 178,162.16 × 71,749.34
  4. Step 4: Simplify right side
    129,106.45x = 12,783,017,392.97
  5. Step 5: Solve for x
    x = 12,783,017,392.97/129,106.45
  6. Step 6: Final answer
    x = 99,011.45

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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.