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Finding the Fourth Proportional to 209,985.70, 314,978.55 and 185,491.30

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Solution

The fourth proportional to 209,985.70, 314,978.55 and 185,491.30 is: 278,236.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,985.70 : 314,978.55 = 185,491.30 : x
  2. Step 2: Convert to fraction form
    209,985.70/314,978.55 = 185,491.30/x
  3. Step 3: Cross multiply
    209,985.70x = 314,978.55 × 185,491.30
  4. Step 4: Simplify right side
    209,985.70x = 58,425,780,711.62
  5. Step 5: Solve for x
    x = 58,425,780,711.62/209,985.70
  6. Step 6: Final answer
    x = 278,236.95

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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.