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Finding the Fourth Proportional to 121,492.20, 182,238.30 and 77,314.80

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Solution

The fourth proportional to 121,492.20, 182,238.30 and 77,314.80 is: 115,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,492.20 : 182,238.30 = 77,314.80 : x
  2. Step 2: Convert to fraction form
    121,492.20/182,238.30 = 77,314.80/x
  3. Step 3: Cross multiply
    121,492.20x = 182,238.30 × 77,314.80
  4. Step 4: Simplify right side
    121,492.20x = 14,089,717,716.84
  5. Step 5: Solve for x
    x = 14,089,717,716.84/121,492.20
  6. Step 6: Final answer
    x = 115,972.20

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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.