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Finding the Fourth Proportional to 180,624.30, 271,195.65 and 101,892.30

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Solution

The fourth proportional to 180,624.30, 271,195.65 and 101,892.30 is: 152,984.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,624.30 : 271,195.65 = 101,892.30 : x
  2. Step 2: Convert to fraction form
    180,624.30/271,195.65 = 101,892.30/x
  3. Step 3: Cross multiply
    180,624.30x = 271,195.65 × 101,892.30
  4. Step 4: Simplify right side
    180,624.30x = 27,632,748,528.50
  5. Step 5: Solve for x
    x = 27,632,748,528.50/180,624.30
  6. Step 6: Final answer
    x = 152,984.67

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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.