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Finding the Fourth Proportional to 195,464.80, 293,139.60 and 77,096.80

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Solution

The fourth proportional to 195,464.80, 293,139.60 and 77,096.80 is: 115,622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,464.80 : 293,139.60 = 77,096.80 : x
  2. Step 2: Convert to fraction form
    195,464.80/293,139.60 = 77,096.80/x
  3. Step 3: Cross multiply
    195,464.80x = 293,139.60 × 77,096.80
  4. Step 4: Simplify right side
    195,464.80x = 22,600,125,113.28
  5. Step 5: Solve for x
    x = 22,600,125,113.28/195,464.80
  6. Step 6: Final answer
    x = 115,622.48

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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.