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Finding the Fourth Proportional to 206,798.27, 310,072.86 and 92,925.23

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Solution

The fourth proportional to 206,798.27, 310,072.86 and 92,925.23 is: 139,331.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,798.27 : 310,072.86 = 92,925.23 : x
  2. Step 2: Convert to fraction form
    206,798.27/310,072.86 = 92,925.23/x
  3. Step 3: Cross multiply
    206,798.27x = 310,072.86 × 92,925.23
  4. Step 4: Simplify right side
    206,798.27x = 28,813,590,281.89
  5. Step 5: Solve for x
    x = 28,813,590,281.89/206,798.27
  6. Step 6: Final answer
    x = 139,331.88

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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.