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Finding the Fourth Proportional to 201,632, 302,587.42 and 83,304.37

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Solution

The fourth proportional to 201,632, 302,587.42 and 83,304.37 is: 125,014.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,632 : 302,587.42 = 83,304.37 : x
  2. Step 2: Convert to fraction form
    201,632/302,587.42 = 83,304.37/x
  3. Step 3: Cross multiply
    201,632x = 302,587.42 × 83,304.37
  4. Step 4: Simplify right side
    201,632x = 25,206,852,880.09
  5. Step 5: Solve for x
    x = 25,206,852,880.09/201,632
  6. Step 6: Final answer
    x = 125,014.15

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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.