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Finding the Fourth Proportional to 154,172.84, 212,742.20 and 86,182.66

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Solution

The fourth proportional to 154,172.84, 212,742.20 and 86,182.66 is: 118,922.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,172.84 : 212,742.20 = 86,182.66 : x
  2. Step 2: Convert to fraction form
    154,172.84/212,742.20 = 86,182.66/x
  3. Step 3: Cross multiply
    154,172.84x = 212,742.20 × 86,182.66
  4. Step 4: Simplify right side
    154,172.84x = 18,334,687,195.63
  5. Step 5: Solve for x
    x = 18,334,687,195.63/154,172.84
  6. Step 6: Final answer
    x = 118,922.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.