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Finding the Fourth Proportional to 256,812.40, 385,218.60 and 116,844.40

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Solution

The fourth proportional to 256,812.40, 385,218.60 and 116,844.40 is: 175,266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,812.40 : 385,218.60 = 116,844.40 : x
  2. Step 2: Convert to fraction form
    256,812.40/385,218.60 = 116,844.40/x
  3. Step 3: Cross multiply
    256,812.40x = 385,218.60 × 116,844.40
  4. Step 4: Simplify right side
    256,812.40x = 45,010,636,185.84
  5. Step 5: Solve for x
    x = 45,010,636,185.84/256,812.40
  6. Step 6: Final answer
    x = 175,266.60

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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.