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Finding the Fourth Proportional to 153,684.33, 230,513.53 and 86,914.41

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Solution

The fourth proportional to 153,684.33, 230,513.53 and 86,914.41 is: 130,364.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,684.33 : 230,513.53 = 86,914.41 : x
  2. Step 2: Convert to fraction form
    153,684.33/230,513.53 = 86,914.41/x
  3. Step 3: Cross multiply
    153,684.33x = 230,513.53 × 86,914.41
  4. Step 4: Simplify right side
    153,684.33x = 20,034,947,456.97
  5. Step 5: Solve for x
    x = 20,034,947,456.97/153,684.33
  6. Step 6: Final answer
    x = 130,364.28

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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.