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Finding the Fourth Proportional to 256,868.40, 385,162.56 and 79,342.32

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Solution

The fourth proportional to 256,868.40, 385,162.56 and 79,342.32 is: 118,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,868.40 : 385,162.56 = 79,342.32 : x
  2. Step 2: Convert to fraction form
    256,868.40/385,162.56 = 79,342.32/x
  3. Step 3: Cross multiply
    256,868.40x = 385,162.56 × 79,342.32
  4. Step 4: Simplify right side
    256,868.40x = 30,559,691,087.54
  5. Step 5: Solve for x
    x = 30,559,691,087.54/256,868.40
  6. Step 6: Final answer
    x = 118,970.22

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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.