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Finding the Fourth Proportional to 256,716, 385,125.30 and 79,216.31

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Solution

The fourth proportional to 256,716, 385,125.30 and 79,216.31 is: 118,840.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,716 : 385,125.30 = 79,216.31 : x
  2. Step 2: Convert to fraction form
    256,716/385,125.30 = 79,216.31/x
  3. Step 3: Cross multiply
    256,716x = 385,125.30 × 79,216.31
  4. Step 4: Simplify right side
    256,716x = 30,508,206,116.46
  5. Step 5: Solve for x
    x = 30,508,206,116.46/256,716
  6. Step 6: Final answer
    x = 118,840.30

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