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Finding the Fourth Proportional to 299,048.39, 412,681.60 and 163,083.41

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Solution

The fourth proportional to 299,048.39, 412,681.60 and 163,083.41 is: 225,052.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,048.39 : 412,681.60 = 163,083.41 : x
  2. Step 2: Convert to fraction form
    299,048.39/412,681.60 = 163,083.41/x
  3. Step 3: Cross multiply
    299,048.39x = 412,681.60 × 163,083.41
  4. Step 4: Simplify right side
    299,048.39x = 67,301,522,572.26
  5. Step 5: Solve for x
    x = 67,301,522,572.26/299,048.39
  6. Step 6: Final answer
    x = 225,052.28

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Why These Related Problems?

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