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Finding the Fourth Proportional to 253,896.49, 380,283.17 and 103,681.26

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Solution

The fourth proportional to 253,896.49, 380,283.17 and 103,681.26 is: 155,292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,896.49 : 380,283.17 = 103,681.26 : x
  2. Step 2: Convert to fraction form
    253,896.49/380,283.17 = 103,681.26/x
  3. Step 3: Cross multiply
    253,896.49x = 380,283.17 × 103,681.26
  4. Step 4: Simplify right side
    253,896.49x = 39,428,238,222.39
  5. Step 5: Solve for x
    x = 39,428,238,222.39/253,896.49
  6. Step 6: Final answer
    x = 155,292.57

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Why These Related Problems?

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