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Finding the Fourth Proportional to 102,999.80, 142,127.97 and 57,671.48

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Solution

The fourth proportional to 102,999.80, 142,127.97 and 57,671.48 is: 79,580.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,999.80 : 142,127.97 = 57,671.48 : x
  2. Step 2: Convert to fraction form
    102,999.80/142,127.97 = 57,671.48/x
  3. Step 3: Cross multiply
    102,999.80x = 142,127.97 × 57,671.48
  4. Step 4: Simplify right side
    102,999.80x = 8,196,730,168.15
  5. Step 5: Solve for x
    x = 8,196,730,168.15/102,999.80
  6. Step 6: Final answer
    x = 79,580.06

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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.