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Finding the Fourth Proportional to 214,304.40, 295,398.54 and 168,912

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Solution

The fourth proportional to 214,304.40, 295,398.54 and 168,912 is: 232,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,304.40 : 295,398.54 = 168,912 : x
  2. Step 2: Convert to fraction form
    214,304.40/295,398.54 = 168,912/x
  3. Step 3: Cross multiply
    214,304.40x = 295,398.54 × 168,912
  4. Step 4: Simplify right side
    214,304.40x = 49,896,358,188.48
  5. Step 5: Solve for x
    x = 49,896,358,188.48/214,304.40
  6. Step 6: Final answer
    x = 232,829.37

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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.