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Finding the Fourth Proportional to 205,363.40, 307,814.70 and 87,014.60

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Solution

The fourth proportional to 205,363.40, 307,814.70 and 87,014.60 is: 130,424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,363.40 : 307,814.70 = 87,014.60 : x
  2. Step 2: Convert to fraction form
    205,363.40/307,814.70 = 87,014.60/x
  3. Step 3: Cross multiply
    205,363.40x = 307,814.70 × 87,014.60
  4. Step 4: Simplify right side
    205,363.40x = 26,784,372,994.62
  5. Step 5: Solve for x
    x = 26,784,372,994.62/205,363.40
  6. Step 6: Final answer
    x = 130,424.28

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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.