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Finding the Fourth Proportional to 281,349.49, 388,299.25 and 160,463.06

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Solution

The fourth proportional to 281,349.49, 388,299.25 and 160,463.06 is: 221,460.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,349.49 : 388,299.25 = 160,463.06 : x
  2. Step 2: Convert to fraction form
    281,349.49/388,299.25 = 160,463.06/x
  3. Step 3: Cross multiply
    281,349.49x = 388,299.25 × 160,463.06
  4. Step 4: Simplify right side
    281,349.49x = 62,307,685,850.71
  5. Step 5: Solve for x
    x = 62,307,685,850.71/281,349.49
  6. Step 6: Final answer
    x = 221,460.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.