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Finding the Fourth Proportional to 136,543.54, 204,908.19 and 83,792.02

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Solution

The fourth proportional to 136,543.54, 204,908.19 and 83,792.02 is: 125,745.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,543.54 : 204,908.19 = 83,792.02 : x
  2. Step 2: Convert to fraction form
    136,543.54/204,908.19 = 83,792.02/x
  3. Step 3: Cross multiply
    136,543.54x = 204,908.19 × 83,792.02
  4. Step 4: Simplify right side
    136,543.54x = 17,169,671,154.64
  5. Step 5: Solve for x
    x = 17,169,671,154.64/136,543.54
  6. Step 6: Final answer
    x = 125,745.03

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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.