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Finding the Fourth Proportional to 229,871.82, 344,804.28 and 103,422.78

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Solution

The fourth proportional to 229,871.82, 344,804.28 and 103,422.78 is: 155,132.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,871.82 : 344,804.28 = 103,422.78 : x
  2. Step 2: Convert to fraction form
    229,871.82/344,804.28 = 103,422.78/x
  3. Step 3: Cross multiply
    229,871.82x = 344,804.28 × 103,422.78
  4. Step 4: Simplify right side
    229,871.82x = 35,660,617,193.50
  5. Step 5: Solve for x
    x = 35,660,617,193.50/229,871.82
  6. Step 6: Final answer
    x = 155,132.62

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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.