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Finding the Fourth Proportional to 100,493.88, 138,671.28 and 58,066.08

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Solution

The fourth proportional to 100,493.88, 138,671.28 and 58,066.08 is: 80,125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,493.88 : 138,671.28 = 58,066.08 : x
  2. Step 2: Convert to fraction form
    100,493.88/138,671.28 = 58,066.08/x
  3. Step 3: Cross multiply
    100,493.88x = 138,671.28 × 58,066.08
  4. Step 4: Simplify right side
    100,493.88x = 8,052,097,638.18
  5. Step 5: Solve for x
    x = 8,052,097,638.18/100,493.88
  6. Step 6: Final answer
    x = 80,125.25

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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.