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Finding the Fourth Proportional to 118,959.20, 178,568.40 and 66,471.20

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Solution

The fourth proportional to 118,959.20, 178,568.40 and 66,471.20 is: 99,779.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,959.20 : 178,568.40 = 66,471.20 : x
  2. Step 2: Convert to fraction form
    118,959.20/178,568.40 = 66,471.20/x
  3. Step 3: Cross multiply
    118,959.20x = 178,568.40 × 66,471.20
  4. Step 4: Simplify right side
    118,959.20x = 11,869,655,830.08
  5. Step 5: Solve for x
    x = 11,869,655,830.08/118,959.20
  6. Step 6: Final answer
    x = 99,779.22

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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.