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Finding the Fourth Proportional to 256,706.38, 385,070.50 and 79,209.46

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Solution

The fourth proportional to 256,706.38, 385,070.50 and 79,209.46 is: 118,817.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,706.38 : 385,070.50 = 79,209.46 : x
  2. Step 2: Convert to fraction form
    256,706.38/385,070.50 = 79,209.46/x
  3. Step 3: Cross multiply
    256,706.38x = 385,070.50 × 79,209.46
  4. Step 4: Simplify right side
    256,706.38x = 30,501,226,366.93
  5. Step 5: Solve for x
    x = 30,501,226,366.93/256,706.38
  6. Step 6: Final answer
    x = 118,817.56

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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.