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Finding the Fourth Proportional to 205,140.60, 307,797.30 and 111,713.40

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Solution

The fourth proportional to 205,140.60, 307,797.30 and 111,713.40 is: 167,617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,140.60 : 307,797.30 = 111,713.40 : x
  2. Step 2: Convert to fraction form
    205,140.60/307,797.30 = 111,713.40/x
  3. Step 3: Cross multiply
    205,140.60x = 307,797.30 × 111,713.40
  4. Step 4: Simplify right side
    205,140.60x = 34,385,082,893.82
  5. Step 5: Solve for x
    x = 34,385,082,893.82/205,140.60
  6. Step 6: Final answer
    x = 167,617.15

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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.