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Finding the Fourth Proportional to 208,685.16, 313,022.16 and 58,935.72

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Solution

The fourth proportional to 208,685.16, 313,022.16 and 58,935.72 is: 88,402.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,685.16 : 313,022.16 = 58,935.72 : x
  2. Step 2: Convert to fraction form
    208,685.16/313,022.16 = 58,935.72/x
  3. Step 3: Cross multiply
    208,685.16x = 313,022.16 × 58,935.72
  4. Step 4: Simplify right side
    208,685.16x = 18,448,186,375.56
  5. Step 5: Solve for x
    x = 18,448,186,375.56/208,685.16
  6. Step 6: Final answer
    x = 88,402.00

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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.