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Finding the Fourth Proportional to 98,229.66, 147,447.54 and 87,056.48

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Solution

The fourth proportional to 98,229.66, 147,447.54 and 87,056.48 is: 130,676.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,229.66 : 147,447.54 = 87,056.48 : x
  2. Step 2: Convert to fraction form
    98,229.66/147,447.54 = 87,056.48/x
  3. Step 3: Cross multiply
    98,229.66x = 147,447.54 × 87,056.48
  4. Step 4: Simplify right side
    98,229.66x = 12,836,263,079.82
  5. Step 5: Solve for x
    x = 12,836,263,079.82/98,229.66
  6. Step 6: Final answer
    x = 130,676.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.