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Finding the Fourth Proportional to 208,142.41, 312,156.90 and 58,373.41

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Solution

The fourth proportional to 208,142.41, 312,156.90 and 58,373.41 is: 87,544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,142.41 : 312,156.90 = 58,373.41 : x
  2. Step 2: Convert to fraction form
    208,142.41/312,156.90 = 58,373.41/x
  3. Step 3: Cross multiply
    208,142.41x = 312,156.90 × 58,373.41
  4. Step 4: Simplify right side
    208,142.41x = 18,221,662,708.03
  5. Step 5: Solve for x
    x = 18,221,662,708.03/208,142.41
  6. Step 6: Final answer
    x = 87,544.21

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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.