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Finding the Fourth Proportional to 208,673.87, 312,974.46 and 96,344.51

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Solution

The fourth proportional to 208,673.87, 312,974.46 and 96,344.51 is: 144,499.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,673.87 : 312,974.46 = 96,344.51 : x
  2. Step 2: Convert to fraction form
    208,673.87/312,974.46 = 96,344.51/x
  3. Step 3: Cross multiply
    208,673.87x = 312,974.46 × 96,344.51
  4. Step 4: Simplify right side
    208,673.87x = 30,153,369,426.34
  5. Step 5: Solve for x
    x = 30,153,369,426.34/208,673.87
  6. Step 6: Final answer
    x = 144,499.98

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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.