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Finding the Fourth Proportional to 136,537, 204,840.06 and 38,041

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Solution

The fourth proportional to 136,537, 204,840.06 and 38,041 is: 57,071.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,537 : 204,840.06 = 38,041 : x
  2. Step 2: Convert to fraction form
    136,537/204,840.06 = 38,041/x
  3. Step 3: Cross multiply
    136,537x = 204,840.06 × 38,041
  4. Step 4: Simplify right side
    136,537x = 7,792,320,722.46
  5. Step 5: Solve for x
    x = 7,792,320,722.46/136,537
  6. Step 6: Final answer
    x = 57,071.13

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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.