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Finding the Fourth Proportional to 206,804.42, 310,228.19 and 57,044.73

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Solution

The fourth proportional to 206,804.42, 310,228.19 and 57,044.73 is: 85,573.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,804.42 : 310,228.19 = 57,044.73 : x
  2. Step 2: Convert to fraction form
    206,804.42/310,228.19 = 57,044.73/x
  3. Step 3: Cross multiply
    206,804.42x = 310,228.19 × 57,044.73
  4. Step 4: Simplify right side
    206,804.42x = 17,696,883,051.72
  5. Step 5: Solve for x
    x = 17,696,883,051.72/206,804.42
  6. Step 6: Final answer
    x = 85,573.04

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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.