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Finding the Fourth Proportional to 287,615.10, 431,098.65 and 137,927.10

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Solution

The fourth proportional to 287,615.10, 431,098.65 and 137,927.10 is: 206,735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,615.10 : 431,098.65 = 137,927.10 : x
  2. Step 2: Convert to fraction form
    287,615.10/431,098.65 = 137,927.10/x
  3. Step 3: Cross multiply
    287,615.10x = 431,098.65 × 137,927.10
  4. Step 4: Simplify right side
    287,615.10x = 59,460,186,608.42
  5. Step 5: Solve for x
    x = 59,460,186,608.42/287,615.10
  6. Step 6: Final answer
    x = 206,735.27

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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.