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Finding the Fourth Proportional to 102,616.80, 141,643.44 and 60,192.48

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Solution

The fourth proportional to 102,616.80, 141,643.44 and 60,192.48 is: 83,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,616.80 : 141,643.44 = 60,192.48 : x
  2. Step 2: Convert to fraction form
    102,616.80/141,643.44 = 60,192.48/x
  3. Step 3: Cross multiply
    102,616.80x = 141,643.44 × 60,192.48
  4. Step 4: Simplify right side
    102,616.80x = 8,525,869,929.33
  5. Step 5: Solve for x
    x = 8,525,869,929.33/102,616.80
  6. Step 6: Final answer
    x = 83,084.54

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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.