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Finding the Fourth Proportional to 208,686.94, 313,049.15 and 58,928.74

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Solution

The fourth proportional to 208,686.94, 313,049.15 and 58,928.74 is: 88,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,686.94 : 313,049.15 = 58,928.74 : x
  2. Step 2: Convert to fraction form
    208,686.94/313,049.15 = 58,928.74/x
  3. Step 3: Cross multiply
    208,686.94x = 313,049.15 × 58,928.74
  4. Step 4: Simplify right side
    208,686.94x = 18,447,591,967.57
  5. Step 5: Solve for x
    x = 18,447,591,967.57/208,686.94
  6. Step 6: Final answer
    x = 88,398.40

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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.