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Finding the Fourth Proportional to 186,871.76, 280,352.29 and 60,512.14

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Solution

The fourth proportional to 186,871.76, 280,352.29 and 60,512.14 is: 90,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,871.76 : 280,352.29 = 60,512.14 : x
  2. Step 2: Convert to fraction form
    186,871.76/280,352.29 = 60,512.14/x
  3. Step 3: Cross multiply
    186,871.76x = 280,352.29 × 60,512.14
  4. Step 4: Simplify right side
    186,871.76x = 16,964,717,021.80
  5. Step 5: Solve for x
    x = 16,964,717,021.80/186,871.76
  6. Step 6: Final answer
    x = 90,782.67

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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.