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Finding the Fourth Proportional to 205,328.40, 307,762.20 and 116,624.40

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Solution

The fourth proportional to 205,328.40, 307,762.20 and 116,624.40 is: 174,805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,328.40 : 307,762.20 = 116,624.40 : x
  2. Step 2: Convert to fraction form
    205,328.40/307,762.20 = 116,624.40/x
  3. Step 3: Cross multiply
    205,328.40x = 307,762.20 × 116,624.40
  4. Step 4: Simplify right side
    205,328.40x = 35,892,581,917.68
  5. Step 5: Solve for x
    x = 35,892,581,917.68/205,328.40
  6. Step 6: Final answer
    x = 174,805.74

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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.