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Finding the Fourth Proportional to 281,106.84, 421,716.60 and 103,614.60

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Solution

The fourth proportional to 281,106.84, 421,716.60 and 103,614.60 is: 155,442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,106.84 : 421,716.60 = 103,614.60 : x
  2. Step 2: Convert to fraction form
    281,106.84/421,716.60 = 103,614.60/x
  3. Step 3: Cross multiply
    281,106.84x = 421,716.60 × 103,614.60
  4. Step 4: Simplify right side
    281,106.84x = 43,695,996,822.36
  5. Step 5: Solve for x
    x = 43,695,996,822.36/281,106.84
  6. Step 6: Final answer
    x = 155,442.67

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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.