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Finding the Fourth Proportional to 208,064.80, 311,569.20 and 114,464.80

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Solution

The fourth proportional to 208,064.80, 311,569.20 and 114,464.80 is: 171,406.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,064.80 : 311,569.20 = 114,464.80 : x
  2. Step 2: Convert to fraction form
    208,064.80/311,569.20 = 114,464.80/x
  3. Step 3: Cross multiply
    208,064.80x = 311,569.20 × 114,464.80
  4. Step 4: Simplify right side
    208,064.80x = 35,663,706,164.16
  5. Step 5: Solve for x
    x = 35,663,706,164.16/208,064.80
  6. Step 6: Final answer
    x = 171,406.73

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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.