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Finding the Fourth Proportional to 185,460.57, 278,000.01 and 84,328.97

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Solution

The fourth proportional to 185,460.57, 278,000.01 and 84,328.97 is: 126,406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,460.57 : 278,000.01 = 84,328.97 : x
  2. Step 2: Convert to fraction form
    185,460.57/278,000.01 = 84,328.97/x
  3. Step 3: Cross multiply
    185,460.57x = 278,000.01 × 84,328.97
  4. Step 4: Simplify right side
    185,460.57x = 23,443,453,113.29
  5. Step 5: Solve for x
    x = 23,443,453,113.29/185,460.57
  6. Step 6: Final answer
    x = 126,406.67

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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.