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Finding the Fourth Proportional to 85,678.68, 118,238.28 and 51,258.90

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Solution

The fourth proportional to 85,678.68, 118,238.28 and 51,258.90 is: 70,738.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,678.68 : 118,238.28 = 51,258.90 : x
  2. Step 2: Convert to fraction form
    85,678.68/118,238.28 = 51,258.90/x
  3. Step 3: Cross multiply
    85,678.68x = 118,238.28 × 51,258.90
  4. Step 4: Simplify right side
    85,678.68x = 6,060,764,170.69
  5. Step 5: Solve for x
    x = 6,060,764,170.69/85,678.68
  6. Step 6: Final answer
    x = 70,738.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.