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Finding the Fourth Proportional to 185,984.40, 278,987.40 and 52,874.40

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Solution

The fourth proportional to 185,984.40, 278,987.40 and 52,874.40 is: 79,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,984.40 : 278,987.40 = 52,874.40 : x
  2. Step 2: Convert to fraction form
    185,984.40/278,987.40 = 52,874.40/x
  3. Step 3: Cross multiply
    185,984.40x = 278,987.40 × 52,874.40
  4. Step 4: Simplify right side
    185,984.40x = 14,751,291,382.56
  5. Step 5: Solve for x
    x = 14,751,291,382.56/185,984.40
  6. Step 6: Final answer
    x = 79,314.67

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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.