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Finding the Fourth Proportional to 256,706.37, 385,070.49 and 79,209.45

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Solution

The fourth proportional to 256,706.37, 385,070.49 and 79,209.45 is: 118,817.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,706.37 : 385,070.49 = 79,209.45 : x
  2. Step 2: Convert to fraction form
    256,706.37/385,070.49 = 79,209.45/x
  3. Step 3: Cross multiply
    256,706.37x = 385,070.49 × 79,209.45
  4. Step 4: Simplify right side
    256,706.37x = 30,501,221,724.13
  5. Step 5: Solve for x
    x = 30,501,221,724.13/256,706.37
  6. Step 6: Final answer
    x = 118,817.55

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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.