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Finding the Fourth Proportional to 121,598.58, 167,808.86 and 76,278.47

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Solution

The fourth proportional to 121,598.58, 167,808.86 and 76,278.47 is: 105,266.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,598.58 : 167,808.86 = 76,278.47 : x
  2. Step 2: Convert to fraction form
    121,598.58/167,808.86 = 76,278.47/x
  3. Step 3: Cross multiply
    121,598.58x = 167,808.86 × 76,278.47
  4. Step 4: Simplify right side
    121,598.58x = 12,800,203,093.24
  5. Step 5: Solve for x
    x = 12,800,203,093.24/121,598.58
  6. Step 6: Final answer
    x = 105,266.06

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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.