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Finding the Fourth Proportional to 129,100.32, 178,014.60 and 83,718.72

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Solution

The fourth proportional to 129,100.32, 178,014.60 and 83,718.72 is: 115,438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,100.32 : 178,014.60 = 83,718.72 : x
  2. Step 2: Convert to fraction form
    129,100.32/178,014.60 = 83,718.72/x
  3. Step 3: Cross multiply
    129,100.32x = 178,014.60 × 83,718.72
  4. Step 4: Simplify right side
    129,100.32x = 14,903,154,453.31
  5. Step 5: Solve for x
    x = 14,903,154,453.31/129,100.32
  6. Step 6: Final answer
    x = 115,438.56

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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.