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Finding the Fourth Proportional to 112,096.76, 167,402.12 and 98,515.49

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Solution

The fourth proportional to 112,096.76, 167,402.12 and 98,515.49 is: 147,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,096.76 : 167,402.12 = 98,515.49 : x
  2. Step 2: Convert to fraction form
    112,096.76/167,402.12 = 98,515.49/x
  3. Step 3: Cross multiply
    112,096.76x = 167,402.12 × 98,515.49
  4. Step 4: Simplify right side
    112,096.76x = 16,491,700,549.25
  5. Step 5: Solve for x
    x = 16,491,700,549.25/112,096.76
  6. Step 6: Final answer
    x = 147,120.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.