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Finding the Fourth Proportional to 164,221.08, 245,716.50 and 116,945.40

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Solution

The fourth proportional to 164,221.08, 245,716.50 and 116,945.40 is: 174,980.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,221.08 : 245,716.50 = 116,945.40 : x
  2. Step 2: Convert to fraction form
    164,221.08/245,716.50 = 116,945.40/x
  3. Step 3: Cross multiply
    164,221.08x = 245,716.50 × 116,945.40
  4. Step 4: Simplify right side
    164,221.08x = 28,735,414,379.10
  5. Step 5: Solve for x
    x = 28,735,414,379.10/164,221.08
  6. Step 6: Final answer
    x = 174,980.06

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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.