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Finding the Fourth Proportional to 120,765.84, 181,066.14 and 61,486.80

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Solution

The fourth proportional to 120,765.84, 181,066.14 and 61,486.80 is: 92,188.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,765.84 : 181,066.14 = 61,486.80 : x
  2. Step 2: Convert to fraction form
    120,765.84/181,066.14 = 61,486.80/x
  3. Step 3: Cross multiply
    120,765.84x = 181,066.14 × 61,486.80
  4. Step 4: Simplify right side
    120,765.84x = 11,133,177,536.95
  5. Step 5: Solve for x
    x = 11,133,177,536.95/120,765.84
  6. Step 6: Final answer
    x = 92,188.13

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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.