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Finding the Fourth Proportional to 207,884.70, 312,009.30 and 123,539.40

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Solution

The fourth proportional to 207,884.70, 312,009.30 and 123,539.40 is: 185,417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,884.70 : 312,009.30 = 123,539.40 : x
  2. Step 2: Convert to fraction form
    207,884.70/312,009.30 = 123,539.40/x
  3. Step 3: Cross multiply
    207,884.70x = 312,009.30 × 123,539.40
  4. Step 4: Simplify right side
    207,884.70x = 38,545,441,716.42
  5. Step 5: Solve for x
    x = 38,545,441,716.42/207,884.70
  6. Step 6: Final answer
    x = 185,417.41

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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.