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Finding the Fourth Proportional to 208,671.64, 313,020.14 and 58,923.22

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Solution

The fourth proportional to 208,671.64, 313,020.14 and 58,923.22 is: 88,388.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,671.64 : 313,020.14 = 58,923.22 : x
  2. Step 2: Convert to fraction form
    208,671.64/313,020.14 = 58,923.22/x
  3. Step 3: Cross multiply
    208,671.64x = 313,020.14 × 58,923.22
  4. Step 4: Simplify right side
    208,671.64x = 18,444,155,112.23
  5. Step 5: Solve for x
    x = 18,444,155,112.23/208,671.64
  6. Step 6: Final answer
    x = 88,388.41

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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.